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arXiv:2402.04633 [math.DG]AbstractReferencesReviewsResources

A stability result for Riemannian foliations

Stephane Geudens, Florian Zeiser

Published 2024-02-07Version 1

We show that a Riemannian foliation F on a compact manifold M is stable, provided that the cohomology group H^1(F,NF) vanishes. Stability means that any foliation on M close enough to F is conjugate to F by means of a diffeomorphism.

Comments: 24 pages
Categories: math.DG
Subjects: 53C12, 57R30
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