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

Emmanuel Humbert,Yannick Privat,Emmanuel Trélat

arXiv: Dynamical Systems（2018）

Cited 23|Views7

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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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