Toric integrable geodesic flows

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By studying completely integrable torus actions on contact manifolds we prove a conjecture of Toth and Zelditch that toric integrable geodesic flows on tori must have flat metrics.
12 pages. V2: paper shortened to 7 pages.V3: final version; introduction expanded; to appear in Math Res. Letters

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Differential Geometry, Algebraic Geometry, Dynamical Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/60379

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0011139
 http://arxiv.org/abs/math/0011139

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arXiv