Conjugate loci of totally geodesic submanifolds of symmetric spaces
Conjugate loci of totally geodesic submanifolds of symmetric spaces
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对称空间全测地线子流形的共轭轨迹
DOI：
10.1090/s0002-9947-1993-1091705-1
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发表时间：
1993
影响因子：
1.3
通讯作者：
J. Burns
中科院分区：
文献类型：
--
作者：
J. Burns
研究了紧对称空间中固定原点的对合不动点集的共轭轨迹和割轨迹。第一个共轭轨迹用某些表示的根和权来描述。当第一共轭轨迹和割轨迹一致时，我们研究Morse函数，它给出了对称空间的一个简单分解。例如，我们描述了我们的结果的拓扑含义
The conjugate and cut loci of fixed point sets of involutions which fix the origin of a compact symmetric space are studied. The first conjugate locus is described in terms of roots and weights of certain representations. When the first conjugate locus and the cut locus agree, we study Morse functions which give a simple decomposition of the symmetric space. We describe for some examples the topological implications of our results