A splitting theorem for nonnegatively curved Alexandrov spaces
A splitting theorem for nonnegatively curved Alexandrov spaces
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非负弯曲Alexandrov空间的分裂定理
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
A. Wörner
中科院分区：
文献类型：
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作者：
A. Wörner
我们研究Alexandrov空间的非负曲率，其边界由几个层次的余维1。如果空间是紧的，并且所有边界层的公共交是空的，则空间是度量积。特别是，这是满足，如果紧凑的空间有维数n，并包含超过nC 1边界层。分裂因子通常是非平坦的。53 C 23; 51 H 25
We study Alexandrov spaces of nonnegative curvature whose boundaries consist of several strata of codimension 1. If the space is compact and the common intersection of all boundary strata is empty, then the space is a metric product. In particular, this is fulfilled if the compact space has dimension n and contains more than nC1 boundary strata. The splitting factors are in general non-flat. 53C23; 51H25