Non-unimodular transversely homogeneous foliations

E. Macías-Virgós; P. L. Martín-Méndez

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arXiv · 2005.07975

Non-unimodular transversely homogeneous foliations

E. Macías-Virgós·P. L. Martín-Méndez

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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 $S^1$.

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BibTeX RIS

E. Macías-Virgós, P. L. Martín-Méndez. 2020-05-16. Non-unimodular transversely homogeneous foliations. https://arxiv.org/abs/2005.07975

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