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Rigidity of coarsely minimal Reeb flows
[Submitted on 18 Jun 2026] · 2026-06-19 · via math updates on arXiv.org

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Abstract:We introduce the notion of a coarsely minimal Reeb flow, generalizing the notion of minimal geodesic flow, and prove the following rigidity theorem: That a coarsely minimal Reeb flow satisfying a divergence property is orbitally equivalent to the geodesic flow of a Riemannian metric of negative sectional curvature. Without the divergence assumption, we obtain an orbital semi-equivalence. This extends a rigidity result for geodesic flows of negatively curved Riemannian metrics which is due to Gromov. We use Floer homology and Morse's hyperbolic `stability' Lemma.

Submission history

From: Barney Bramham [view email]
[v1] Thu, 18 Jun 2026 16:47:41 UTC (44 KB)

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