| Einstein manifolds of non-negative sectional curvature and entropy (2000) | |||||||||
Abstract | |||||||||
| 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.. Comment: 13 pages | |||||||||
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