Positively curved manifolds with maximal symmetry rank
classification
🧮 math.DG
keywords
curvedmanifoldsmaximalpositivelyranksymmetry-rankadmitclosed
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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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