Toric integrable geodesic flows

Details Toric integrable geodesic flows Toric integrable geodesic flows

2000-11-20

arxiv.org/abs/math/0011139v3

Mathematics

Differential Geometry

12 pages. V2: paper shortened to 7 pages.V3: final version; introduction expanded; to appear in Math Res. Letters

Scientific paper

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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