QUATERNIONIC KAHLER MANIFOLDS OF COHOMOGENEITY ONE
QUATERNIONIC KAHLER MANIFOLDS OF COHOMOGENEITY ONE
复制标题
齐次一的四元卡勒流形
DOI：
10.1142/s0129167x99000215
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发表时间：
1998
影响因子：
0.6
通讯作者：
A. Swann
中科院分区：
文献类型：
--
作者：
A. Dancer;A. Swann
给出了（i）紧四元数Kahler流形的一个半单群的余齐性1作用，（ii）某些完备的超Kahler流形的一个半单群的余齐性2作用保持每个复结构，（iii）紧3-Sasakian流形关于一组3-Sasakian对称是余齐性1的分类结果.还得到了关于复半单李代数上齐性的非紧四元数Kahler流形和伴随轨道的上齐性的信息。
Classification results are given for (i) compact quaternionic Kahler manifolds with a cohomogeneity-one action of a semi-simple group, (ii) certain complete hyperKahler manifolds with a cohomogeneity-two action of a semi-simple group preserving each complex structure, (iii) compact 3-Sasakian manifolds which are cohomogeneity one with respect to a group of 3-Sasakian symmetries. Information is also obtained about non-compact quaternionic Kahler manifolds of cohomogeneity one and the cohomogeneity of adjoint orbits in complex semi-simple Lie algebras.