Non-unimodular transversely homogeneous foliations
Differential Geometry
2020-05-19 v1
Abstract
We give sufficient conditions for the tautness of a transversely homogenous foliation defined on a compact manifold, by computing its base-like cohomology. As an application, we prove that if the foliation is non-unimodular then either the ambient manifold, the closure of the leaves or the total space of an associated principal bundle fiber over .
Keywords
Cite
@article{arxiv.2005.07975,
title = {Non-unimodular transversely homogeneous foliations},
author = {E. Macías-Virgós and P. L. Martín-Méndez},
journal= {arXiv preprint arXiv:2005.07975},
year = {2020}
}
Comments
33 pages. This paper will appear in Annales de l'Institut Fourier, Grenoble