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arXiv · 1305.0678

Curvature and partial hyperbolicity

Fernando Carneiro·Enrique Pujals
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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.

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Fernando Carneiro, Enrique Pujals. 2013-05-03. Curvature and partial hyperbolicity. https://arxiv.org/abs/1305.0678

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