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German mathematician (1886–1982)
Ludwig Georg Elias Moses Bieberbach (German: [ˈbiːbɐbax]; 4 December 1886 – 1 September 1982) was a German mathematician, who achieved early success solving
Ludwig_Bieberbach
Topics referred to by the same term
Bieberbach may refer to: Ludwig Bieberbach, German mathematician Bieberbach (Egloffstein), a village in the municipality Egloffstein, Bavaria, Germany
Bieberbach
Statement in complex analysis; formerly the Bieberbach conjecture
In complex analysis, de Branges's theorem, or the Bieberbach conjecture, is a theorem that gives a necessary condition on a holomorphic function in order
De_Branges's_theorem
Symmetry group of a configuration in space
of dimensions. In dimensions other than 3, they are sometimes called Bieberbach groups. In crystallography, space groups are also called the crystallographic
Space_group
Castle in Germany
The burgstall or site of Bieberbach Castle is a ruined mediaeval spur castle at a elevation of 530 m above sea level (NN) on a rock formation in the southern
Bieberbach_Castle
Statement in complex analysis
who conjectured the result in 1907. The theorem was proven by Ludwig Bieberbach in 1916. The example of the Koebe function shows that the constant 1 /
Koebe_quarter_theorem
River in Germany
Bieberbach is a river of North Rhine-Westphalia, Germany. It flows into the Hönne near Menden. List of rivers of North Rhine-Westphalia Hydrographic Directory
Bieberbach_(Hönne)
On lattices and sphere packing in Euclidean space
This question was answered affirmatively by Ludwig Bieberbach. Named as Bieberbach group, Bieberbach proved that the subgroup of translations of any such
Hilbert's_eighteenth_problem
German mathematician (1913–1943)
1937, he moved to the University of Berlin to work with Ludwig Bieberbach. Bieberbach was the editor of Deutsche Mathematik and much of Teichmüller's
Oswald_Teichmüller
Municipality in Bavaria, Germany
Egloffstein is divided into 16 parishes: Affalterthal Äpfelbach Bärenthal Bieberbach Dietersberg Egloffstein Egloffsteinerhüll Hammerbühl Hammermühle Hammerthoos
Egloffstein
Academic journal
1936 by Ludwig Bieberbach and Theodor Vahlen. Vahlen was publisher on behalf of the German Research Foundation (DFG), and Bieberbach was chief editor
Deutsche_Mathematik
In mathematics, a Fatou–Bieberbach domain is a proper subdomain of C n {\displaystyle \mathbb {C} ^{n}} , biholomorphically equivalent to C n {\displaystyle
Fatou–Bieberbach_domain
French mathematician (1878–1929)
studies in holomorphic dynamics, Fatou discovered what are now called Fatou–Bieberbach domains (Fatou 1922). These are proper subregions of the complex space
Pierre_Fatou
univalent functions that played an important role in the solution of the Bieberbach conjecture by Louis de Branges in 1985. Loewner himself used his techniques
Loewner_differential_equation
Public university in West Lafayette and Indianapolis, Indiana, US
Graham Cooks, Douglas Comer, Louis de Branges de Bourcia (who proved the Bieberbach conjecture), Victor Raskin, David Sanders, Leah Jamieson, James L. Mohler
Purdue_University
Manifold that "locally looks like" Euclidean space
manifold is Euclidean space. This can be used to prove the theorem of Bieberbach (1911, 1912) that all compact flat manifolds are finitely covered by tori;
Flat_manifold
French-American mathematician
Indiana, retiring in 2023. He is best known for proving the long-standing Bieberbach conjecture in 1984, now called de Branges's theorem. He claims to have
Louis_de_Branges_de_Bourcia
Mathematics award
"Major contributions in the primes, in univalent functions and the local Bieberbach conjecture, in theory of functions of several complex variables, and in
Fields_Medal
German communal company
Headquarters Munich , Germany Area served Munich and region Key people Florian Bieberbach (CEO) Services Public services Revenue €6,349,000,000 (2025) Owner City
Stadtwerke_München
Dutch mathematician (1923–2025)
Chauvenet Prize, for an essay on Louis de Branges de Bourcia's proof of the Bieberbach conjecture. In 2012, he became a fellow of the American Mathematical Society
Jacob_Korevaar
German-American mathematician and physicist
finished his Ph.D. thesis Ueber Systeme hyperkomplexer Grössen under Ludwig Bieberbach and Issai Schur at the philosophical faculty. In 1925, he married Edith
Maximilian_Herzberger
English vocalist and songwriter
and Channel 4 game show Countdown. Her mother is German-born Christiane Bieberbach. At the age of 19, the singer's career in show business was started with
Kirsty_Hawkshaw
published between 1936 and 1943, was edited by Theodor Vahlen and Ludwig Bieberbach. Vahlen had taught in Greifswald before serving in the army in World War
Mathematics_in_Nazi_Germany
by Richard Askey and George Gasper (1976) and used in the proof of the Bieberbach conjecture. For β ≥ 0 {\displaystyle \beta \geq 0} and − 1 ≤ x ≤ 1 {\displaystyle
Askey–Gasper_inequality
German mathematician (1894–1971)
1920) and Berlin (starting in winter 1920/21). He studied under Ludwig Bieberbach and received his doctorate in 1925. In his dissertation, Connections between
Heinz_Hopf
Construction of an angle equal to one third a given angle
Kempe's Trisector and Sylvester's Link Fan or Isoklinostat. In 1932, Ludwig Bieberbach published in Journal für die reine und angewandte Mathematik his work
Angle_trisection
Characterization of starlike univalent holomorphic functions
disk which are starlike. Nevanlinna used this criterion to prove the Bieberbach conjecture for starlike univalent functions. A univalent function h on
Nevanlinna's_criterion
German mathematician (1849–1925)
advisors Julius Plücker and Rudolf Lipschitz Doctoral students List Ludwig Bieberbach Maxime Bôcher Oskar Bolza Max Brückner Frank Nelson Cole Friedrich Dingeldey
Felix_Klein
German mathematician
member of the NSDAP and also the SA. In July 1934 he wrote to Ludwig Bieberbach a short note supporting his antisemitic views and stating: "May God grant
Hellmuth_Kneser
German mathematician (1905–1988)
geometry (Über Krümmung und Windung geschlossener Raumkurven) under Ludwig Bieberbach. From 1928 to 1933, Fenchel was Professor E. Landau's Assistant at the
Werner_Fenchel
German Easter tradition
the decoration of wells in Franconia. Osterbrunnen in Bieberbach (2010) Painted eggs in Bieberbach (2004) Osterbrunnen in Tiefenpölz (2009) Osterbrunnen
Osterbrunnen
German mathematician (1895–1958)
University Frankfurt, for a thesis written under the direction of Ludwig Bieberbach. In 1928, he took a lecturing position at the University of Greifswald
Wilhelm_Süss
Mathematical space
^{4}\rtimes \mathrm {O} (4)} . The fundamental group of any such manifold is a Bieberbach group. There are 74 homeomorphism classes of manifolds with geometry E
4-manifold
German mathematician (1909–1945)
publication in the ideological Deutsche Mathematik that was founded by Ludwig Bieberbach who promoted "Aryan" mathematics. Gentzen proved the consistency of the
Gerhard_Gentzen
In the mathematical field of topology, a manifold M is called topologically rigid if every manifold homotopically equivalent to M is also homeomorphic
Topological_rigidity
Russian-French mathematician
covered by a nilmanifold. The proof works by replaying the proofs of the Bieberbach theorem and Margulis lemma. Gromov's proof was given a careful exposition
Mikhael Gromov (mathematician)
Mikhael_Gromov_(mathematician)
American mathematician (1933–2019)
for Jacobi polynomials is essential in de Brange's famous proof of the Bieberbach conjecture. Askey earned a B.A. at Washington University in St. Louis
Richard_Askey
Group of geometric symmetries with at least one fixed point
families, but from the crystallographic restriction theorem and one of Bieberbach's theorems, each number of dimensions has only a finite number of point
Point_group
Inequality on the coefficients of the exponential of a power series
Milin (1965) and Isaak Moiseevich Milin (1977). It was used in the proof of the Bieberbach conjecture, as it shows that the Milin conjecture implies the Robertson
Lebedev–Milin_inequality
Riemannian crystallographic groups (also known as Bieberbach groups) were classified by Ludwig Bieberbach, answering a question posed by David Hilbert. In
Affine_manifold
River in Thuringia, Germany
tributary flows another 4 km (2.5 mi) below at Friedrichswerth with the Bieberbach from the right. Directly at the district border of the district of Gotha
Nesse_(Hörsel)
Matrix used in complex analysis
the inequalities for the disk were used in proving special cases of the Bieberbach conjecture up to the sixth coefficient; the exponentiated inequalities
Grunsky_matrix
23 mathematical problems stated in 1900
groups in n-dimensional Euclidean space? Resolved. Result: Yes (by Ludwig Bieberbach) 1910 (b) Is there a polyhedron that admits only an anisohedral tiling
Hilbert's_problems
Soft drink company
Dennis Mark "Boss" Crowley. The business began in the 1880s as the J. G. Bieberbach Company, a liquor company. In 1916, the company took on the Polar name
Polar_Beverages
German mathematician (1895–1941)
supervised by Ludwig Bieberbach. He began working as a secondary school teacher while working on his habilitation with Bieberbach, which he completed in
Karl Reinhardt (mathematician)
Karl_Reinhardt_(mathematician)
German mathematician
Liebisch, Otto Mügge), in Klein's encyclopedia. Fyodorov–Schoenflies–Bieberbach theorem Jordan–Schoenflies theorem Schoenflies notation Schoenflies displacement
Arthur_Moritz_Schoenflies
German mathematician (1875–1941)
Switzerland in the summer of 1935, a letter reached Schur from Ludwig Bieberbach signed on behalf of the Rector's, stating that Schur should urgently seek
Issai_Schur
British composer (1937–2021)
After a brief early marriage, Hawkshaw married German-born Christiane Bieberbach in 1968; they had two children; singer, composer and musician Kirsty (b
Alan_Hawkshaw
Local and global geometry of the universe
3-manifolds, of which 6 are orientable and 4 are non-orientable. These are the Bieberbach manifolds. The most familiar is the aforementioned 3-torus universe. In
Shape_of_the_universe
Classification of a two-dimensional repetitive pattern
transformations to those that preserve orientation. It follows from the Bieberbach conjecture that all wallpaper groups are different even as abstract groups
Wallpaper_group
Poincaré (1854–1912) Évariste Galois (1811–1832), modern algebra Ludwig Bieberbach (1886–1982) Oskar Bolza (1857–1942) Georg Cantor (1845–1918) Max Dehn
List of mathematicians born in the 19th century
List_of_mathematicians_born_in_the_19th_century
Theorem in topology
generalizations were constructed by J. W. Alexander, Louis Antoine, Ludwig Bieberbach, Luitzen Brouwer, Arnaud Denjoy, Friedrich Hartogs, Béla Kerékjártó, Alfred
Jordan_curve_theorem
Statement in complex analysis
for hyperbolic manifolds. De Branges' theorem, formerly known as the Bieberbach Conjecture, is an important extension of the lemma, giving restrictions
Schwarz_lemma
German mathematician (1882–1945)
contentious. In one incident he publicly trivialized the results of Ludwig Bieberbach as simple corollaries to his own work. In another incident he stole and
Paul_Koebe
Municipality in Rhineland-Palatinate, Germany
eastwards from the Hunsrückhöhenstraße through the so-called Biebertal (Bieberbach valley) by way of Biebern to Simmern. Wüschheim lies roughly 8 km west-northwest
Wüschheim
Family of power series in mathematics
{}_{2}F_{1}(c-s-{\tfrac {1}{2}},s;c;x)^{2}} was used by de Branges to prove the Bieberbach conjecture. Many of the special functions in mathematics are special cases
Generalized hypergeometric function
Generalized_hypergeometric_function
Polish mathematician (1899–1943)
Lwów ghetto was established he wrote to Ludwig Bieberbach pleading for his support. Instead, Bieberbach passed his letter to the Gestapo and Schauder was
Juliusz_Schauder
On the smallest non-interesting number
qualifies, as do 2, the smallest prime; 3, the smallest odd prime; 4, Bieberbach's number; etc. Suppose the set S of positive integers concerning each of
Interesting_number_paradox
American mathematician
him is considered the most interesting challenge in the area after the Bieberbach conjecture, proved by Louis de Branges in 1985. In 1948, he made a mathematical
Adolph_Winkler_Goodman
Largest distance between two points
inequalities relating the diameter to the radius. The isodiametric inequality or Bieberbach inequality, a relative of the isoperimetric inequality, states that, for
Diameter_of_a_set
Swiss-American mathematician
evidence and confidence to de Branges's tour-de-force attack on the elusive Bieberbach conjecture on the magnitude of coefficients of schlicht functions, which
Walter_Gautschi
German physicist and politician (1902–1980)
Wolfgang Pauli) and the so-called "Jewish physics". Responding to Ludwig Bieberbach, Jordan wrote: "The differences among German and French mathematics are
Pascual_Jordan
Austrian mathematician (1885–1962)
against the Nazis and, in the early 1930s, campaigned against Ludwig Bieberbach for leadership of the German Mathematical Society, arguing that the society
Wilhelm_Blaschke
River in Baden-Württemberg, Germany
Wikipedia article at [[:de:Bieberbach (Donau)]]; see its history for attribution. You may also add the template {{Translated|de|Bieberbach (Donau)}} to the talk
Biberbach_(Danube)
Extension of the domain of an analytic function (mathematics)
Ahlfors (1979). Complex Analysis (3 ed.). McGraw-Hill. pp. 172, 284. Ludwig Bieberbach (1955). Analytische Fortsetzung. Springer-Verlag. P. Dienes (1957). The
Analytic_continuation
Monastery in Germany
donation by Gottfried II. in Werl documented in 1203. A mill was built at Bieberbach, initially run by conversi, and leased from the mid-15th century. The
Oelinghausen_Monastery
American mathematician (1893–1968)
Pick. One of his central mathematical contributions is the proof of the Bieberbach conjecture in the first highly nontrivial case of the third coefficient
Charles_Loewner
conjecture Hyperbolic 3-manifolds Spherical 3-manifolds Euclidean 3-manifolds, Bieberbach Theorem, Flat manifolds, Crystallographic groups Seifert fiber space Heegaard
List of geometric topology topics
List_of_geometric_topology_topics
Belinfante Stefan Bergman Paul Bernays Sergei Bernstein Ludwig Berwald Ludwig Bieberbach Mieczysław Biernacki Antoine Bilimovitch Karl Bögel Nicolas Bogoliúboff
List of International Congresses of Mathematicians Plenary and Invited Speakers
List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers
German-born American mathematician
Erwin Schrödinger, Walter Nernst, Erhard Schmidt, Issai Schur and Ludwig Bieberbach. In Berlin he worked closely with Issai Schur. In 1934, after being forced
Menahem_Max_Schiffer
German mathematician
influence on Ludwig Bieberbach who was leader of the "seminar" (may be institute); with course of time even more power shifted from Bieberbach to Boseck. Gerd
Karl-Heinz_Boseck
derivative Analytic capacity Disk algebra Univalent function Ahlfors theory Bieberbach conjecture Borel–Carathéodory theorem Corona theorem Hadamard three-circle
List of complex analysis topics
List_of_complex_analysis_topics
Russian mathematician (born 1940)
mathematicians who in 1984 verified the correctness of the proof of the Bieberbach conjecture by Louis de Branges. Nikolski, Nikolai (1999). "In search of
Nikolai_Kapitonovich_Nikolski
Statement in complex analysis
univalent analytic functions found by Fekete and Szegő (1933), related to the Bieberbach conjecture. Finding similar estimates for other classes of functions is
Fekete–Szegő_inequality
spaces, especially as Hilbert spaces, and used those results to prove the Bieberbach conjecture. A Hermite-Biehler function, also known as de Branges function
De_Branges_space
German mathematician and astronomer (1895 - 1953)
his specialization in astronomy. The positive classification by Ludwig Bieberbach and Theodor Vahlen played a role in this – Klose was an active National
Alfred_Klose
German mathematician and Nazi Party official (1869–1945)
journal Deutsche Mathematik, for which the Berlin mathematician Ludwig Bieberbach was the editor; in the journal, political articles preceded the scholarly
Theodor_Vahlen
Rogozinskij's conjecture (1939) on coefficients of Bieberbach-Eilenberg functions. In 1964 exploring the famous Bieberbach conjecture (1916) Milin seriously improved
Isaak_Moiseevich_Milin
German mathematician (born 1912)
thesis on a problem on the theory of configurations advised by Ludwig Bieberbach. Sterberegister Nr. 1065/1956 des Standesamts Dresden I E. Melchior (1940)
Eberhard_Melchior
Awarded every year by the American Mathematical Society
doi:10.1016/0022-1236(73)90091-8. Branges, Louis (1985). "A proof of the Bieberbach conjecture" (PDF). Acta Mathematica. 154 (1–2): 137–152. doi:10.1007/BF02392821
Leroy_P._Steele_Prize
Canadian–American mathematician
doi:10.1090/S0002-9939-1955-0072219-6. Jenkins, James A. (1955). "On Bieberbach-Eilenberg functions. II". Transactions of the American Mathematical Society
James_Allister_Jenkins
German mathematician (1892–1977)
had been a board member at one time along with Reinhold Baer, Ludwig Bieberbach, Georg Feigl, Heinz Hopf, Alfred Loewy, Richard von Mises, John von Neumann
Gustav_Doetsch
German-American mathematician (1878–1952)
be published in 1927 by Jakob Nielsen. In 1922 Dehn succeeded Ludwig Bieberbach at Frankfurt, where he stayed until he was forced to retire in 1935. During
Max_Dehn
theory and other fields. 1985 – Louis de Branges de Bourcia proves the Bieberbach conjecture. 1986 – Ken Ribet proves Ribet's theorem. 1987 – Yasumasa Kanada
Timeline_of_mathematics
Swiss mathematician
ISBN 9780821814390. with Hermann Karcher: Buser, Peter; Karcher, Hermann (1981). "The bieberbach case in gromov's almost flat manifold theorem". Global Differential Geometry
Jürg_Peter_Buser
Invariant of simple closed curves
disk, the complex plane, or the Riemann sphere. In a 1923 work on the Bieberbach conjecture, Charles Loewner showed that (a suitable normalization of)
Loewner_energy
German mathematician (1911–1980)
W. Burnside) (Burnside's theorem). His doctoral advisors where Ludwig Bieberbach, Issai Schur and Erhard Schmidt. He was forced to resign as a Jew in 1935
Rudolf_Kochendörffer
Geometric construction
287-369 (Part II, pp. 313-369, repr. in Becker, 1965, pp. 146-202) p.317, Bieberbach, L., Theorie der geometrischen Konstruktionen, Basel: Birkhauser, 1952
Lune_of_Hippocrates
Mathematical theorem
theorem. To simplify notation, horizontal slits will be taken. Firstly, by Bieberbach's inequality, any univalent function g ( z ) = z + c z 2 + ⋯ {\displaystyle
Riemann_mapping_theorem
Upland in the German state of Bavaria
precious resource in the arid high plateau of Franconian Switzerland. The Bieberbach Osterbrunnen (Egloffstein) hold the Guinness World Record for the largest
Franconian_Switzerland
Term in mathematics
C n {\displaystyle \mathbb {C} ^{n}} is a Stein manifold. Every Fatou–Bieberbach domain in C n {\displaystyle \mathbb {C} ^{n}} is a Stein manifold. Every
Stein_manifold
German mathematician (1904–1986)
Mathematik. In 1939 he was forced to leave this position after Ludwig Bieberbach accused him of employing Jewish referees in a notorious letter. He joined
Helmut_Grunsky
Town in Bavaria, Germany
Überschlagmühle, Walkmühle, Winterhalten, Zehdorf Banzenweiler: Banzenweiler, Bieberbach, Georgenhof, Jungenhof, Krebshof, Krobshausen, Leiperzell, Oberransbach
Feuchtwangen
German state (1918–1920)
communities: Ahlstadt, Ahorn, Aicha, Beiersdorf, Bertelsdorf, Beuerfeld, Bieberbach, Birkach am Forst, Birkig, Blumenrod, Boderndorf, Breitenau, Brüx, Buchenrod
Free_State_of_Coburg
List of tornadoes in Europe and surrounding regions in 2025
damaged within a 50-metre-wide path running through the entire village of Bieberbach. The characteristics of the path and the damage, in combination with radar
List of European tornadoes in 2025
List_of_European_tornadoes_in_2025
Danish mathematician and footballer (1887–1951)
mathematical establishment, publishing an article criticising Ludwig Bieberbach's ideas in Berlingske Aften in 1934. Following the murder of Kaj Munk on
Harald_Bohr
American mathematician (1907–1957)
analytic and one-to-one). Specifically, they worked on special cases of the Bieberbach conjecture, for which they gave a proof that the third coefficient satisfied
Albert_Charles_Schaeffer
Municipality in Rhineland-Palatinate, Germany
Simmern. The municipality lies in the central Hunsrück in the Bieber (Bieberbach) valley between Bundesstraße 50 and the Hunsrückhöhenstraße (“Hunsrück
Biebern
German Bestelmeyer Friedrich Bethge Wilhelm Beyer Heinrich Beythien Ludwig Bieberbach Hans Biebow Dorothea Binz Horst Birr Otto Christian Archibald von Bismarck
List_of_Nazis_(A–E)
written up by Bass and John Morgan. 1984 Louis de Branges de Bourcia Bieberbach conjecture, 1916 complex analysis ⇐Robertson conjecture⇐Milin conjecture⇐de
List_of_conjectures
BIEBERBACH
BIEBERBACH
BIEBERBACH
BIEBERBACH
Girl/Female
Australian, Hebrew
Who is Like God
Girl/Female
Indian American Czechoslovakian Polish Biblical
Paradise.
Girl/Female
Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Mythological, Sanskrit, Tamil, Telugu
Sita
Male
Egyptian
, a Vth dynasty king.
Boy/Male
Indian, Sanskrit
One who has Won over Death; One who is Immortal; Conqueror of Death
Girl/Female
Sikh
Supreme Joy and bliss
Girl/Female
Hindu, Indian
Beautiful
Girl/Female
Indian
Goddess
Female
English
Variant spelling of English Effie, EFFI means "Well I speak."
Boy/Male
Sikh
Abiding by the gurus word
BIEBERBACH
BIEBERBACH
BIEBERBACH
BIEBERBACH
BIEBERBACH