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Toric integrable geodesic flows

Eugene Lerman·Nadya Shirokova
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Abstract

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.

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Eugene Lerman, Nadya Shirokova. 2001-11-03. Toric integrable geodesic flows. https://arxiv.org/abs/math/0011139

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