Curvature and partial hyperbolicity

2013/05/03 by Fernando Carneiro, Enrique Pujals, Carneiro, Fernando +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1305.0678

9 pages, no figure

arxiv created 2013/05/03 · arxiv updated 2013/05/06

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.

Related

• Partially hyperbolic geodesic flows
• Partially hyperbolic geodesic flow via conformal deformation
• General curvature flow without singularities
• The mean curvature flow by parallel hypersurfaces
• Curvature, sphere theorems, and the Ricci flow