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DIFFIETY

Diffiety

Differential variety

In mathematics, a diffiety (/dəˈfaɪəˌtiː/) is a geometrical object which plays the same role in the modern theory of partial differential equations that

Diffiety

Differential algebraic geometry

equations. Another way of generalizing ideas from algebraic geometry is diffiety theory. Differential algebraic geometry (three parts in one pdf), part

Differential algebraic geometry

Differential_algebraic_geometry

Secondary calculus and cohomological physics

Modern discipline

calculus are cohomology classes of differential complexes growing on diffieties. The latter are, in the framework of secondary calculus, the analog of

Secondary calculus and cohomological physics

Secondary_calculus_and_cohomological_physics

Alexandre Mikhailovich Vinogradov

Russian-Italian mathematician (1938–2019)

prolonged differential equations into a category whose objects, called diffieties, are studied in the framework of what he called secondary calculus (by

Alexandre Mikhailovich Vinogradov

Alexandre_Mikhailovich_Vinogradov

Glossary of areas of mathematics

that deals with differentiable functions on differentiable manifolds. Diffiety theory Diophantine geometry in general the study of algebraic varieties

Glossary of areas of mathematics

Glossary_of_areas_of_mathematics

Jet bundle

Construction in differential topology

that by restricting C {\displaystyle {\mathcal {C}}} to E(∞) one gets the diffiety ( E ( ∞ ) , C | E ( ∞ ) ) {\displaystyle (E_{(\infty )},{\mathcal {C}}|_{E_{(\infty

Jet bundle

Jet_bundle