Orientation and Symmetries of Alexandrov Spaces with Applications in Positive Curvature
Orientation and Symmetries of Alexandrov Spaces with Applications in Positive Curvature
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DOI：
10.1007/s12220-016-9734-7
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发表时间：
2016-10
期刊：
影响因子：
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通讯作者：
John Harvey;C. Searle
中科院分区：
文献类型：
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作者：
John Harvey;C. Searle
我们开发了用于亚历山德罗夫几何的两个新工具：分支可定向双盖理论和紧李群作用的片定理的一个特别有用的版本。这些工具应用于具有极大对称秩的紧正弯曲Alexandrov空间的分类。
We develop two new tools for use in Alexandrov geometry: a theory of ramified orientable double covers and a particularly useful version of the Slice Theorem for actions of compact Lie groups. These tools are applied to the classification of compact, positively curved Alexandrov spaces with maximal symmetry rank.