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VOL. 34 | 2002 Space of Geodesics on Zoll Three-Spheres
Kaoru Ono

Editor(s) Kenji Fukaya, Seiki Nishikawa, Joel Spruck

Abstract

The space of geodesics on a Zoll manifold, i.e., a Riemannian manifold all of whose geodesics are closed with the same minimal period, carries a natural symplectic structure. In this note, it is shown that the space of geodesics on a Zoll three-sphere is symplectomorphic to the product of two copies of two-spheres with the same area.

Information

Published: 1 January 2002
First available in Project Euclid: 31 December 2018

zbMATH: 1039.53088
MathSciNet: MR1925743

Digital Object Identifier: 10.2969/aspm/03410237

Subjects:
Primary: 53D05
Secondary: 53C22

Rights: Copyright © 2002 Mathematical Society of Japan

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