Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2018

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

Emmanuel Trélat

Résumé

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.
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Dates et versions

hal-01939709 , version 1 (29-11-2018)

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Emmanuel Humbert, Yannick Privat, Emmanuel Trélat. Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits. 2018. ⟨hal-01939709⟩
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