English

Cohomological tautness for Riemannian foliations

Differential Geometry 2015-05-13 v1

Abstract

In this paper we present some new results on the tautness of Riemannian foliations in their historical context. The first part of the paper gives a short history of the problem. For a closed manifold, the tautness of a Riemannian foliation can be characterized cohomologically. We extend this cohomological characterization to a class of foliations which includes the foliated strata of any singular Riemannian foliation of a closed manifold.

Keywords

Cite

@article{arxiv.0805.4714,
  title  = {Cohomological tautness for Riemannian foliations},
  author = {J. I. Royo Prieto and M. Saralegi-Aranguren and R. Wolak},
  journal= {arXiv preprint arXiv:0805.4714},
  year   = {2015}
}