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- W2892023510 abstract "Haefliger cohomology characterizes taut foliated manifolds by Haefliger's theorem. We show that Haefliger cohomology characterizes strongly tense foliated manifolds, namely, foliated manifolds which admit a Riemannian metric such that the mean curvature form of the leaves is closed and basic. We show that Haefliger cohomology is dual to invariant cohomology for complete Riemannian foliations. As an application of these results, we prove that any complete Riemannian foliation is strongly tense, which is a generalization of Dominguez's tenseness theorem for Riemannian foliations on closed manifolds." @default.
- W2892023510 created "2018-09-27" @default.
- W2892023510 creator A5075871701 @default.
- W2892023510 date "2012-09-18" @default.
- W2892023510 modified "2023-09-27" @default.
- W2892023510 title "Haefliger cohomology of complete Riemannian foliations" @default.
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