Leaves of foliations with a transverse geometric structure of finite type.

Wolak, Robert A.. "Leaves of foliations with a transverse geometric structure of finite type.." Publicacions Matemàtiques 33.1 (1989): 153-162. <http://eudml.org/doc/41076>.

@article{Wolak1989,
abstract = {In this short note we find some conditions which ensure that a G foliation of finite type with all leaves compact is a Riemannian foliation of equivalently the space of leaves of such a foliation is a Satake manifold. A particular attention is paid to transversaly affine foliations. We present several conditions which ensure completeness of such foliations.},
author = {Wolak, Robert A.},
journal = {Publicacions Matemàtiques},
keywords = {Foliaciones; Grupos de Lie; Compacidad; Variedad foliada; Foliación riemanniana; bundle of transverse linear frames; compact foliation; G-foliation; prolongation; transversely parallelizable; transversely complete; space of leaves; Satake manifold},
language = {eng},
number = {1},
pages = {153-162},
title = {Leaves of foliations with a transverse geometric structure of finite type.},
url = {http://eudml.org/doc/41076},
volume = {33},
year = {1989},
}

TY - JOUR
AU - Wolak, Robert A.
TI - Leaves of foliations with a transverse geometric structure of finite type.
JO - Publicacions Matemàtiques
PY - 1989
VL - 33
IS - 1
SP - 153
EP - 162
AB - In this short note we find some conditions which ensure that a G foliation of finite type with all leaves compact is a Riemannian foliation of equivalently the space of leaves of such a foliation is a Satake manifold. A particular attention is paid to transversaly affine foliations. We present several conditions which ensure completeness of such foliations.
LA - eng
KW - Foliaciones; Grupos de Lie; Compacidad; Variedad foliada; Foliación riemanniana; bundle of transverse linear frames; compact foliation; G-foliation; prolongation; transversely parallelizable; transversely complete; space of leaves; Satake manifold
UR - http://eudml.org/doc/41076
ER -