References & Citations
Mathematics > Differential Geometry
Title: Stable non-Hausdorff Riemannian foliations
(Submitted on 26 Mar 2024 (v1), last revised 2 Apr 2024 (this version, v3))
Abstract: This paper aims to construct foliations $\mathcal{F}$ that are stable, meaning that any other foliation close to $\mathcal{F}$ is conjugate to $\mathcal{F}$ by a diffeomorphism. Our main result yields examples of stable Riemannian foliations $\mathcal{F}$ with dense leaves. To our knowledge, these are the first examples of stable Riemannian foliations that are not Hausdorff.
Submission history
From: Stephane Geudens [view email][v1] Tue, 26 Mar 2024 12:56:22 GMT (12kb)
[v2] Wed, 27 Mar 2024 20:10:43 GMT (12kb)
[v3] Tue, 2 Apr 2024 11:24:24 GMT (13kb)
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