Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space

The conformal geometry of regular hypersurfaces in the conformal space is studied. We classify all the conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in the conformal space up to conformal equivalence.

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Bibliographic Details
Published inScience China. Mathematics Vol. 53; no. 4; pp. 953 - 965
Main Authors Nie, ChangXiong, Li, TongZhu, He, YiJun, Wu, ChuanXi
Format Journal Article
LanguageEnglish
Published Heidelberg SP Science China Press 01.04.2010
Subjects
Applications of Mathematics
Classification
Curvature
Mathematical analysis
Mathematics
Mathematics and Statistics
53C42
conformal invariants
53A30
conformal isoparametric hypersurfaces
Lorentz conformal geometry
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Summary:The conformal geometry of regular hypersurfaces in the conformal space is studied. We classify all the conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in the conformal space up to conformal equivalence.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-009-0206-4