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A Hamiltonian version of a result of Gromoll and Grove
Published 16 Mar 2016 in math.DG and math.SG | (1603.05107v2)
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 $\mathbb{R}P3$. For reversible Finsler $2$-spheres all of whose geodesics are closed this implies that the lengths of all geodesics coincide.
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