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EQUIFOCAL HYPERSURFACESIN SYMMETRIC SPACESEQUIFOCAL HYPERSURFACESIN SYMMETRIC SPACES

EQUIFOCAL HYPERSURFACES IN SYMMETRIC SPACES EQUIFOCAL HYPERSURFACES IN SYMMETRIC SPACES
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摘要 This note investigates the multiplicity problem of principal curvatures of equifocal hypersurfaces in simply connected rank 1 symmetric spaces. Using Clifford representation theory, and the author also constructs infinitely many equifocal hypersurfaces in the symmetric spaces.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2000年第4期473-478,共页 数学年刊(B辑英文版)
基金 project supported by the National Natural Science Foundation of China (No.19925104), RFDP and the Qiu-Shi Science and Technolog
关键词 Equifocal HYPERSURFACES SYMMETRIC space Principal CURVATURE MULTIPLICITY of principal CURVATURES Equifocal hypersurfaces Symmetric space Principal curvature Multiplicity of principal curvatures
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参考文献4

  • 1Fuquan Fang. Topology of Dupin hypersurfaces with six distinct principal curvatures[J] 1999,Mathematische Zeitschrift(3):533~555
  • 2U. Abresch. Isoparametric hypersurfaces with four or six distinct principal curvatures[J] 1983,Mathematische Annalen(3):283~302
  • 3Dirk Ferus,Hermann Karcher,Hans-Friedrich Münzner. Cliffordalgebren und neue isoparametrische Hyperfl?chen[J] 1981,Mathematische Zeitschrift(4):479~502
  • 4Elie Cartan. Sur des familles remarquables d’hypersurfaces isoparamétriques dans les espaces sphériques[J] 1939,Mathematische Zeitschrift(1):335~367

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