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
