Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits

Emmanuel Humbert; Yannick Privat; Emmanuel Trélat

Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits

Emmanuel Humbert ¹ Yannick Privat ² Emmanuel Trélat ^{3, 4}

1 IDP - Institut Denis Poisson

2 UNISTRA - Université de Strasbourg

3 CaGE - Control And GEometry

Inria de Paris, LJLL - Laboratoire Jacques-Louis Lions

4 SU - Sorbonne Université

Abstract : We provide new geometric and spectral characterizations for a Riemannian manifold to be a Zoll manifold, i.e., all geodesics of which are periodic. We analyze relationships with invariant measures and quantum limits.

Keywords : Quantum limits Zoll manifolds Invariant measures

Document type :

Preprints, Working Papers, ...

Domain :

Mathematics [math] / Dynamical Systems [math.DS]

Mathematics [math] / Metric Geometry [math.MG]

Mathematics [math] / Spectral Theory [math.SP]

Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01939709
Contributor : Emmanuel Trélat <>
Submitted on : Thursday, November 29, 2018 - 4:46:45 PM
Last modification on : Friday, April 19, 2019 - 4:55:16 PM

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Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits

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