EQUIFOCAL HYPERSURFACES IN SYMMETRIC SPACES

Citation:

FANG Fuquan.EQUIFOCAL HYPERSURFACES IN SYMMETRIC SPACES[J].Chinese Annals of Mathematics B,2000,21(4):473~478
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Authors:

FANG Fuquan;

Foundation:

Project supported by the National Natural Science Foundation of China (No.19925104), RFDP and the Qiu-Shi Science and Technology Foundation.
Abstract: 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.

Keywords:

Equifocal hypersurfaces, Symmetric space, Principal curvature, Multiplicity of principal curvatures

Classification:

53C40, 53B25
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