Toric integrable geodesic flows
Differential Geometry
2007-05-23 v3 Algebraic Geometry
Dynamical Systems
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.
Cite
@article{arxiv.math/0011139,
title = {Toric integrable geodesic flows},
author = {Eugene Lerman and Nadya Shirokova},
journal= {arXiv preprint arXiv:math/0011139},
year = {2007}
}
Comments
12 pages. V2: paper shortened to 7 pages.V3: final version; introduction expanded; to appear in Math Res. Letters