Classification of manifolds with weakly 1/4-pinched curvatures
Classification of manifolds with weakly 1/4-pinched curvatures
复制标题
DOI：
10.1007/s11511-008-0022-7
复制
发表时间：
2007-05
期刊：
影响因子：
3.7
通讯作者：
S. Brendle;R. Schoen
中科院分区：
文献类型：
--
作者：
S. Brendle;R. Schoen
我们证明了具有弱点型1/4缩紧截面曲率的紧黎曼流形是局部对称的或者是空间形式的微分同态的。更一般地，我们分类所有紧致的，局部不可约的黎曼流形，其性质为thatM×R2has非负各向同性曲率。
We show that a compact Riemannian manifold with weakly pointwise 1/4-pinched sectional curvatures is either locally symmetric or diffeomorphic to a space form. More generally, we classify all compact, locally irreducible Riemannian manifoldsMwith the property thatM×R2has non-negative isotropic curvature.