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

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.
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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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  • HAL Id : hal-01939709, version 1
  • ARXIV : 1811.12717

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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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