Structure of a leaf of some codimension one riemannian foliation

Bugajska, Krystyna. "Structure of a leaf of some codimension one riemannian foliation." Annales de l'institut Fourier 38.1 (1988): 169-174. <http://eudml.org/doc/74788>.

@article{Bugajska1988,
abstract = {Some properties of the range on an open leaf $\{\cal L\}$ of some codimension-one foliation are shown. They are different from the known properties of the distance of leaves. They imply that leaf $\{\cal L\}$ is of fibred type over a complete Riemannian manifold with boundary, as well that there exists some vector field $v$ on $\{\cal L\}$. If $v$ is parallel then $\{\cal L\}$ is diffeomorphic to $\{\cal L\}^\{\prime \}\times \{\bf R\}$ and has non-positive curvature.},
author = {Bugajska, Krystyna},
journal = {Annales de l'institut Fourier},
keywords = {open leaf; non-positive curvature; range of a point; codimension one Riemannian foliation; totally geodesic foliation},
language = {eng},
number = {1},
pages = {169-174},
publisher = {Association des Annales de l'Institut Fourier},
title = {Structure of a leaf of some codimension one riemannian foliation},
url = {http://eudml.org/doc/74788},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Bugajska, Krystyna
TI - Structure of a leaf of some codimension one riemannian foliation
JO - Annales de l'institut Fourier
PY - 1988
PB - Association des Annales de l'Institut Fourier
VL - 38
IS - 1
SP - 169
EP - 174
AB - Some properties of the range on an open leaf ${\cal L}$ of some codimension-one foliation are shown. They are different from the known properties of the distance of leaves. They imply that leaf ${\cal L}$ is of fibred type over a complete Riemannian manifold with boundary, as well that there exists some vector field $v$ on ${\cal L}$. If $v$ is parallel then ${\cal L}$ is diffeomorphic to ${\cal L}^{\prime }\times {\bf R}$ and has non-positive curvature.
LA - eng
KW - open leaf; non-positive curvature; range of a point; codimension one Riemannian foliation; totally geodesic foliation
UR - http://eudml.org/doc/74788
ER -