The structure of smooth mappings over Weil algebras and the category of manifolds over algebras

zbMath0985.58001MaRDI QIDQ1568855

Vadim V. jun. Shurygin

Publication date: 25 July 2000

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225392

zbMATH Keywords

A-manifoldmanifold over algebraA-smooth maplocal Weil algebramapping over algebra

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Differentiable manifolds, foundations (58A05)

Related Items (9)

Complexes of differential forms associated with a normalized manifold over the algebra of dual numbers ⋮ Frobenius manifolds in the context of \(\mathbb{A} \)-manifolds ⋮ Geometry of manifolds modeled on Hilbert modules ⋮ Unnamed Item ⋮ Holonomy pseudogroups of manifolds over Weil algebras ⋮ Some aspects of the theory of manifolds over algebras and Weil bundles ⋮ The local functors of points of supermanifolds ⋮ The Schwarz-Voronov embedding of \(\mathbb{Z}_2^n\)-manifolds ⋮ Unnamed Item

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