A min-max characterization of Zoll Riemannian metrics - Archive ouverte HAL Access content directly
Journal Articles Mathematical Proceedings of the Cambridge Philosophical Society Year : 2021

A min-max characterization of Zoll Riemannian metrics

(1) ,
1
Stefan Suhr
  • Function : Author

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.

Dates and versions

ensl-03048629 , version 1 (09-12-2020)

Identifiers

Cite

Marco Mazzucchelli, Stefan Suhr. A min-max characterization of Zoll Riemannian metrics. Mathematical Proceedings of the Cambridge Philosophical Society, 2021, ⟨10.1017/S0305004121000311⟩. ⟨ensl-03048629⟩
8 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More