Curvature and partial hyperbolicity
Dynamical Systems
2013-05-06 v1
Abstract
Using quadratic forms, we stablish a criteria to relate the curvature of a Riemannian manifold and partial hyperbolicity of its geodesic flow. We show some examples which satisfy the criteria and another which does not satisfy it but still has a partially hyperbolic geodesic flow.
Cite
@article{arxiv.1305.0678,
title = {Curvature and partial hyperbolicity},
author = {Fernando Carneiro and Enrique Pujals},
journal= {arXiv preprint arXiv:1305.0678},
year = {2013}
}
Comments
9 pages, no figure