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Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space |
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| Authors: | NIE ChangXiong LI TongZhu HE YiJun & WU ChuanXi Faculty of Mathematics Computer Sciences Hubei University Wuhan China School of Mathematical Sciences Peking University Beijing Faculty of Sciences Beijing Institute of Technology Beijing School of Mathematical Sciences Shanxi University Taiyuan |
| Institution: | NIE ChangXiong 1,2,LI TongZhu 3,HE YiJun 4 & WU ChuanXi 5 1 Faculty of Mathematics , Computer Sciences,Hubei University,Wuhan 430062,China,2 School of Mathematical Sciences,Peking University,Beijing 100871,3 Faculty of Sciences,Beijing Institute of Technology,Beijing 100081,4 School of Mathematical Sciences,Shanxi University,Taiyuan 030006,5 Institute of Mathematics |
| Abstract: | 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. |
| Keywords: | Lorentz conformal geometry conformal invariants conformal isoparametric hypersurfaces |
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