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

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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Veröffentlicht in:Science China. Mathematics 2010-04, Vol.53 (4), p.953-965
Hauptverfasser: Nie, ChangXiong, Li, TongZhu, He, YiJun, Wu, ChuanXi
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Classification
Curvature
Mathematical analysis
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-009-0206-4