Cohomological tautness for Riemannian foliations |
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Authors: | J. I. Royo Prieto M. Saralegi-Aranguren R. Wolak |
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Affiliation: | (1) Faculty of Mathematics and Computer Sciences, University of Craiova, 13, Al.I. Cuza st., 200585 Craiova, Romania |
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Abstract: | In this paper, we present 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. |
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