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arXiv · 1603.05107

A Hamiltonian version of a result of Gromoll and Grove

Urs Frauenfelder·Christian Lange·Stefan Suhr
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Abstract

The theorem that if all geodesics of a Riemannian two-sphere are closed they are also simple closed is generalized to real Hamiltonian structures on $\mathbb{R}P^3$. For reversible Finsler $2$-spheres all of whose geodesics are closed this implies that the lengths of all geodesics coincide.

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Urs Frauenfelder, Christian Lange, Stefan Suhr. 2016-03-16. A Hamiltonian version of a result of Gromoll and Grove. https://arxiv.org/abs/1603.05107

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