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О структуре групподиа голономии псевдориманова слоения

С. 95–99.
Dolgonosova A., Zhukova N.

We investigate the structure of the holonomy groupoids of pseudo-Riemannian foliations

of arbitrary codimension on n-dimensional pseudo-Riemannian manifolds.

The structure of leaves of induced foliations on the holonomy groupoids is described.

Clarified specifics of the holonomy groupoids of transversally complete pseudo-Riemannian foliations.

Language: Russian
Full text
Keywords: псевдориманово слоениеPseudo-Riemannian foliation Ehresmann connection of a foliationholonomy groupiod of a foliationгруппоид голономии слоениясвязность Эрисмана для слоения
Publication based on the results of:
Topology and chaos in the dynamics of systems, foliations, and deformations of Lie algebras (2018)

In book

Труды математического центра имени Н.И. Лобачевского.
Т. 56: Лобачевские чтения-2018. Материалы семнадцатой молодежной школы-конференции. , Каз.: Издательство Казанского математического общества и Академии наук РТ, 2018.
Similar publications
О слоениях с трансверсальной линейной связностью
Dolgonosova A., Журнал Средневолжского математического общества 2017 Т. 19 № 1 С. 19–29
The subject of this article is a review of the results on foliations with transversal linear connection obtained by the author together with N.I. Zhukova, and their comparison with the results of other authors. The work consists of three parts. The first part focuses on to automorphism groups of foliations with a transversal linear connection ...
Added: June 13, 2017
Pseudo-Riemannian foliations and their graphs
A. Yu. Dolgonosova, Zhukova N., Lobachevskii Journal of Mathematics 2018 Vol. 39 No. 1 P. 54–64
We prove that a foliation (M;F) of codimension q on a ndimensional pseudo-Riemannian manifold is pseudo-Riemannian if and only if any geodesic that is orthogonal at one point to a leaf is orthogonal to every leaf it intersects. We show that on the graph G = G(F) of a pseudo-Riemannian foliation there exists a unique pseudo-Riemannian ...
Added: March 23, 2017
Pseudo-Riemannian foliations and their graphs
Zhukova N., Dolgonosova A., / Series math "arxiv.org". 2016.
We prove that a foliation (M,F) of codimension q on a n-dimensional pseudo-Riemannian manifold is pseudo-Riemannian if and only if any geodesic that is orthogonal at one point to a leaf is orthogonal to every leaf it intersects. We show that on the graph G=G(F) of a pseudo-Riemannian foliation there exists a unique pseudo-Riemannian metric such that canonical projections are pseudo-Riemannian submersions ...
Added: November 29, 2016
Псевдоримановы слоения и их графики
Dolgonosova A., Zhukova N., Труды Математического центра им. Н.И. Лобачевского 2015 Т. 52 С. 62–64
Анонсированы следующие результаты о псевдоримановых слоениях: - новый критерий псевдоримановости слоения произвольной коразмерности на n-мерном псевдоримановом многообразии; - описание структуры графиков псевдоримановых слоений м мндуцированных на них слоениях. ...
Added: March 12, 2016
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