Closed manifolds admitting metrics with the same geodesics

Details Closed manifolds admitting metrics with the same geodesics Closed manifolds admitting metrics with the same geodesics

2004-07-14

arxiv.org/abs/math/0407245v1

Proceedings of SPT2004 (Cala Gonone). World Scientific (2005), 198-209

Mathematics

Differential Geometry

Submitted to Conference Proceedings SPT2004: Symmetry and perturbation theory (Cala Gonone)

Scientific paper

The goal of this survey is to give a list of resent results about topology of
manifolds admitting different metrics with the same geodesics. We emphasize the
role of the theory of integrable systems in obtaining these results.

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