Classification of irreducible isoparametric submanifolds in CPn

被引:0
|
作者
Xiao L. [1 ]
机构
[1] Department of Mathematics, Grad. Sch. Univ. Sci. Technol. China
来源
关键词
Isoparametric foliation; Isoparametric submanifold; Pseudo-Hermitian symmetric space;
D O I
10.1007/BF02903845
中图分类号
学科分类号
摘要
The classification theorem of the isoparametric submanifolds in CPn is obtained and geometry properties of them are discussed.
引用
收藏
页码:28 / 34
页数:6
相关论文
共 50 条
  • [41] On Focal Submanifolds of Isoparametric Hypersurfaces and Simons Formula
    Li, Qichao
    Zhang, Li
    RESULTS IN MATHEMATICS, 2016, 70 (1-2) : 183 - 195
  • [42] GEOMETRY AND TOPOLOGY OF ISOPARAMETRIC SUBMANIFOLDS IN EUCLIDEAN SPACES
    HSIANG, WY
    PALAIS, RS
    TERNG, CL
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1985, 82 (15) : 4863 - 4865
  • [43] CONVEXITY THEOREM FOR INFINITE DIMENSIONAL ISOPARAMETRIC SUBMANIFOLDS
    TERNG, CL
    INVENTIONES MATHEMATICAE, 1993, 112 (01) : 9 - 22
  • [44] On Ricci tensor of focal submanifolds of isoparametric hypersurfaces
    LI QiChao
    YAN WenJiao
    ScienceChina(Mathematics), 2015, 58 (08) : 1723 - 1736
  • [45] On Ricci tensor of focal submanifolds of isoparametric hypersurfaces
    QiChao Li
    WenJiao Yan
    Science China Mathematics, 2015, 58 : 1723 - 1736
  • [46] On Ricci tensor of focal submanifolds of isoparametric hypersurfaces
    Li QiChao
    Yan WenJiao
    SCIENCE CHINA-MATHEMATICS, 2015, 58 (08) : 1723 - 1736
  • [47] Lagrangian submanifolds in complex projective space CPn
    Jiao, Xiaoxiang
    Peng, Chiakuei
    Xu, Xiaowei
    FRONTIERS OF MATHEMATICS IN CHINA, 2012, 7 (06) : 1129 - 1140
  • [48] Mean curvature flow of pinched submanifolds of CPn
    Pipoli, G.
    Sinestrari, C.
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2017, 25 (04) : 799 - 846
  • [49] TOTAL CURVATURES OF COMPACT COMPLEX SUBMANIFOLDS IN CPN
    ARNAU, XG
    NAVEIRA, AM
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 1995, 13 (01) : 9 - 18
  • [50] Lagrangian submanifolds in complex projective space CPn
    Xiaoxiang Jiao
    Chiakuei Peng
    Xiaowei Xu
    Frontiers of Mathematics in China, 2012, 7 : 1129 - 1140