Positively Curved Manifolds with Almost Maximal Symmetry Rank |
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Authors: | Xiaochun Rong |
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Institution: | (1) Mathematics Department, Beijing Normal University, Beijing, P.R. China;(2) Mathematics Department, Rutgers University, New Brunswick, NJ, 08903, U.S.A. |
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Abstract: | The symmetry rank of a Riemannian manifold is the rank of the isometry group. We determine precisely which closed simply connected 5-manifolds admit positively curved metrics with (almost maximal) symmetry rank two. We also determine the precise Euler characteristic and the fundamental groups of all closed positively curved n-manifolds with almost maximal symmetry rank (n–1)/2] (n 6, 7). |
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Keywords: | positive curvature torus action singular set |
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