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| Time-Like Conformal Homogeneous Hypersurfaces with Three Distinct Principal Curvatures |
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Citation： |
Yanbin LIN,Ying L¨U,Changping WANG.Time-Like Conformal Homogeneous Hypersurfaces with Three Distinct Principal Curvatures[J].Chinese Annals of Mathematics B,2020,41(5):679~696 |
| Page view： 509
Net amount： 520 |
Authors： |
Yanbin LIN; Ying L¨U;Changping WANG |
Foundation： |
The first author is supported by the Principal’s Fund (No. KJ2020002), the second is supported by the National Natural Science Foundation of China (Nos. 11671330 and 11871405), the third is supported by the National Natural Science Foundation of China (Nos. 11831005, 1196131001). |
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| Abstract： |
A hypersurface x(M) in Lorentzian space R41 is called conformal homogeneous, if for any two points p, q on M, there exists σ, a conformal transformation of R41, such that σ(x(M)) = x(M), σ(x(p)) = x(q). In this paper, the authors give a complete classification for regular time-like conformal homogeneous hypersurfaces in R41 with three distinct principal curvatures. |
Keywords： |
Lorentzian metric, Conformal metric, Conformal space form, Conformal homogeneous, Time-like hypersurface |
Classification： |
53A30, 53B25 |
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