Einstein manifolds of non-negative sectional curvature and entropy

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We find obstructions to the existence of Einstein metrics of non-negative sectional curvature on a smooth closed simply connected manifold of any dimension. The results are achieved by combining the classical Morse theory of the loop space with a new upper bound for the topological entropy of the geodesic flow in terms of the curvature tensor.
13 pages

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Differential Geometry, Dynamical Systems, 53C25

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http://salesiana.dossiersoluciones.com/handle/123456789/58742

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0002188
 http://arxiv.org/abs/math/0002188

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arXiv