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arXiv · 1811.12717

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

Emmanuel Humbert·Yannick Privat·Emmanuel Trélat
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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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Emmanuel Humbert, Yannick Privat, Emmanuel Trélat. 2018-11-30. Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits. https://arxiv.org/abs/1811.12717

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