Singular foliations with Ehresmann connections and their holonomy groupoids

Nina I. Zhukova

Banach Center Publications (2007)

  • Volume: 76, Issue: 1, page 471-490
  • ISSN: 0137-6934

Abstract

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We introduce topological 𝒬-holonomy groupoids for singular foliations (M,ℱ) with an Ehresmann connection 𝒬 using 𝒬-holonomy groups, which have a global character. We show advantage of our groupoids over known ones.

How to cite

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Nina I. Zhukova. "Singular foliations with Ehresmann connections and their holonomy groupoids." Banach Center Publications 76.1 (2007): 471-490. <http://eudml.org/doc/282181>.

@article{NinaI2007,
abstract = {We introduce topological 𝒬-holonomy groupoids for singular foliations (M,ℱ) with an Ehresmann connection 𝒬 using 𝒬-holonomy groups, which have a global character. We show advantage of our groupoids over known ones.},
author = {Nina I. Zhukova},
journal = {Banach Center Publications},
keywords = {singular foliation; Ehresmann connection; holonomy groupoid; stability theorem; singular Riemannian foliation},
language = {eng},
number = {1},
pages = {471-490},
title = {Singular foliations with Ehresmann connections and their holonomy groupoids},
url = {http://eudml.org/doc/282181},
volume = {76},
year = {2007},
}

TY - JOUR
AU - Nina I. Zhukova
TI - Singular foliations with Ehresmann connections and their holonomy groupoids
JO - Banach Center Publications
PY - 2007
VL - 76
IS - 1
SP - 471
EP - 490
AB - We introduce topological 𝒬-holonomy groupoids for singular foliations (M,ℱ) with an Ehresmann connection 𝒬 using 𝒬-holonomy groups, which have a global character. We show advantage of our groupoids over known ones.
LA - eng
KW - singular foliation; Ehresmann connection; holonomy groupoid; stability theorem; singular Riemannian foliation
UR - http://eudml.org/doc/282181
ER -

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