Holonomy pseudogroups as obstructions to equivalence of manifolds over the algebra of dual numbers

A smooth manifold over the algebra of dual numbers D (a D-smooth manifold) carries the canonical foliation whose leaves are affine manifolds. Extension of charts on a D-smooth manifold along leaf paths allows ones to associate with an immersed transversal of the canonical foliation a pseudogroup of...

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Bibliographic Details
Main Authors: A.A. Malyugina, V.V. Shurygin
Format: Article
Language:English
Published: Kazan Federal University 2019-09-01
Series:Учёные записки Казанского университета: Серия Физико-математические науки
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Online Access:https://kpfu.ru/uz-eng-phm-2019-3-9.html
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