The length of the shortest closed geodesics on a positively curved manifold

Details The length of the shortest closed geodesics on a positively curved manifold The length of the shortest closed geodesics on a positively curved manifold

2008-05-19

arxiv.org/abs/0805.2793v1

Mathematics

Differential Geometry

20 pages

Scientific paper

We give a metric characterization of the Euclidean sphere in terms of the
lower bound of the sectional curvature and the length of the shortest closed
geodesics.

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