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
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Applications of Mathematics
Classification
Curvature
Mathematical analysis
Mathematics
Mathematics and Statistics
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container_title Science China. Mathematics
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creator Nie, ChangXiong
Li, TongZhu
He, YiJun
Wu, ChuanXi
description 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.
doi_str_mv 10.1007/s11425-009-0206-4
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source Alma/SFX Local Collection; SpringerLink Journals - AutoHoldings
subjects Applications of Mathematics
Classification
Curvature
Mathematical analysis
Mathematics
Mathematics and Statistics
title Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space
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