Positively curved manifolds with maximal symmetry-rank

Positively curved manifolds with maximal symmetry-rank
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DOI:
10.1016/0022-4049(94)90138-4
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发表时间:
1994-01
影响因子:
0.8
通讯作者:
K. Grove;C. Searle
K. Grove;C. Searle
中科院分区:
数学2区
文献类型:
--
作者:
K. Grove;C. Searle

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黎曼流形的对称秩定义为其等距群的秩.我们精确地确定了哪个光滑闭流形允许具有最大对称秩正曲度量。
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.