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arXiv · 1208.1206

Positively curved manifolds with maximal symmetry rank

Karsten Grove·Catherine Searle
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Abstract

The symmetry-rank of a riemannian manifold is by definition the rank of its isometry group. We determine precisely which smooth closed manifolds admit a positively curved metric with maximal symmetry-rank.

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Karsten Grove, Catherine Searle. 2012-08-06. Positively curved manifolds with maximal symmetry rank. https://arxiv.org/abs/1208.1206

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