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.
@article{urn:eudml:doc:41076,
title = {Leaves of foliations with a transverse geometric structure of finite type.},
journal = {Publicacions Matem\`atiques},
volume = {33},
year = {1989},
pages = {153-162},
zbl = {0682.57014},
mrnumber = {MR1004232},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41076}
}
Wolak, Robert A. Leaves of foliations with a transverse geometric structure of finite type.. Publicacions Matemàtiques, Tome 33 (1989) pp. 153-162. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41076/