| 射影空间上的等参子流形 |
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| 引用本文： | 肖良.射影空间上的等参子流形[J].中国科学院研究生院学报,1999(1). |
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| 作者姓名： | 肖良 |
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| 作者单位： | Department of Mathematics，Graduate School of USTC，Beijing 100039 |
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| 摘 要： | 讨论了复射影空间ＣＰｎ和四元数射影空间ＨＰｎ上的等参子流形．利用ＣＰｎ上等参子流形的分类定理［１０］，证明了ＣＰｎ上等参子流形的刚性定理．同时，还得到了四元数射影空间ＨＰｎ上等参子流形的例子．
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| 关 键 词： | 等参子流形，等参映射，等参叶状结构，对称空间 |
Isoparametric Submanifolds in Projective Spaces |
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| Xiao Liang.Isoparametric Submanifolds in Projective Spaces[J].Journal of the Graduate School of the Chinese Academy of Sciences,1999(1). |
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| Authors: | Xiao Liang |
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| Abstract: | The isoparametric submanifolds in complex projective spaces CP n and quaternion projective spaces HP n are discussed. Using the classification theorem of isoparametric submanifolds in CP n , we prove a rigidity theorem on isoparametric submanifolds in CP n ; Many examples of isoparametric submanifolds in HP n are obtained. |
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| Keywords: | isoparametric submanifold isoparametric map isoparametric foliation symmetric space |
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