Collapsing Three-Manifolds Under a Lower Curvature Bound
Collapsing Three-Manifolds Under a Lower Curvature Bound
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DOI：
10.4310/jdg/1090347524
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发表时间：
2000-09
影响因子：
2.5
通讯作者：
T. Shioya;Takao Yamaguchi
中科院分区：
文献类型：
--
作者：
T. Shioya;Takao Yamaguchi
本文的目的是完整地刻画三维黎曼流形的拓扑结构，该流形具有收敛于低维度量空间的截面曲率的一致下界。
The purpose of this paper is to completely characterize the topology of threedimensional Riemannian manifolds with a uniform lower bound of sectional curvature which converges to a metric space of lower dimension.