A splitting theorem for complete manifolds with nonnegative curvature operator
A splitting theorem for complete manifolds with nonnegative curvature operator
复制标题
具有非负曲率算子的完全流形的分裂定理
DOI：
10.1090/s0002-9939-1989-0933519-0
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发表时间：
1989
影响因子：
3.3
通讯作者：
M. Noronha
中科院分区：
文献类型：
--
作者：
M. Noronha
结果表明，任何具有非负曲率算子的完整的、非紧的、单连通的黎曼流形都与其紧致灵魂（在 Cheeger-Gromoll 意义上）和欧几里德空间的完全流形微分同胚的乘积是等距的
It is shown that any complete, noncompact, simply connected Riemannian manifold with nonnegative curvature operator is isometric to the product of its compact soul (in the sense of Cheeger-Gromoll) and a complete manifold diffeomorphic to a Euclidean space