New examples of manifolds with completely integrable geodesic flows
Dynamical Systems
2008-02-03 v1 Differential Geometry
Abstract
We construct Riemannian manifolds with completely integrable geodesic flows, in particular various nonhomogeneous examples. The methods employed are a modification of Thimm's method, Riemannian submersions and connected sums.
Cite
@article{arxiv.math/9201276,
title = {New examples of manifolds with completely integrable geodesic flows},
author = {Gabriel Paternain and Ralf J. Spatzier},
journal= {arXiv preprint arXiv:math/9201276},
year = {2008}
}