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A min-max characterization of Zoll Riemannian metrics

Abstract : We characterize the Zoll Riemannian metrics on a given simply connected spin closed manifold as those Riemannian metrics for which two suitable min-max values in a finite dimensional loop space coincide. We also show that on odd dimensional Riemannian spheres, when certain pairs of min-max values in the loop space coincide, every point lies on a closed geodesic.
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Preprints, Working Papers, ...
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-03048629
Contributor : Marco Mazzucchelli <>
Submitted on : Wednesday, December 9, 2020 - 2:37:01 PM
Last modification on : Thursday, December 10, 2020 - 3:27:03 AM

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  • HAL Id : ensl-03048629, version 1
  • ARXIV : 1809.08689

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Marco Mazzucchelli, Stefan Suhr. A min-max characterization of Zoll Riemannian metrics. 2020. ⟨ensl-03048629⟩

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