Holonomy Pseudogroups of Manifolds over Weil Algebras.

Autor: Shurygin, V. V., Zubkova, S. K.
Zdroj: Lobachevskii Journal of Mathematics; Apr2023, Vol. 44 Issue 4, p1494-1505, 12p
Abstrakt: The notion of the holonomy pseudogroup on a total immersed transversal is extended to the case of complete foliated smooth manifolds over a Weil algebra modelled on -modules of the type , where is a quotient algebra of . It is proved that the holonomy pseudogroup determines a complete -smooth manifold up to -diffeomorphism, and examples of application of holonomy pseudogroups are presented. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index