Pierrot's theorem for singular Riemannian foliations.

Robert A. Wolak

Publicacions Matemàtiques (1994)

  • Volume: 38, Issue: 2, page 433-439
  • ISSN: 0214-1493

Abstract

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Let F be a singular Riemannian foliation on a compact connected Riemannian manifold M. We demonstrate that global foliated vector fields generate a distribution tangent to the strata defined by the closures of leaves of F and which, in each stratum, is transverse to these closures of leaves.

How to cite

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Wolak, Robert A.. "Pierrot's theorem for singular Riemannian foliations.." Publicacions Matemàtiques 38.2 (1994): 433-439. <http://eudml.org/doc/41178>.

@article{Wolak1994,
abstract = {Let F be a singular Riemannian foliation on a compact connected Riemannian manifold M. We demonstrate that global foliated vector fields generate a distribution tangent to the strata defined by the closures of leaves of F and which, in each stratum, is transverse to these closures of leaves.},
author = {Wolak, Robert A.},
journal = {Publicacions Matemàtiques},
keywords = {Foliación riemanniana; Geometría diferencial; global foliated vector fields; closures of leaves; stratification; singular Riemannian foliation},
language = {eng},
number = {2},
pages = {433-439},
title = {Pierrot's theorem for singular Riemannian foliations.},
url = {http://eudml.org/doc/41178},
volume = {38},
year = {1994},
}

TY - JOUR
AU - Wolak, Robert A.
TI - Pierrot's theorem for singular Riemannian foliations.
JO - Publicacions Matemàtiques
PY - 1994
VL - 38
IS - 2
SP - 433
EP - 439
AB - Let F be a singular Riemannian foliation on a compact connected Riemannian manifold M. We demonstrate that global foliated vector fields generate a distribution tangent to the strata defined by the closures of leaves of F and which, in each stratum, is transverse to these closures of leaves.
LA - eng
KW - Foliación riemanniana; Geometría diferencial; global foliated vector fields; closures of leaves; stratification; singular Riemannian foliation
UR - http://eudml.org/doc/41178
ER -

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