Curvature and partial hyperbolicity

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.

9 pages, no figure

Cited by in corpus (1)

• Open problems and questions about geodesics