摘要
Similar to the definition in Riemannian space forms, we define the spacelike Dupin hypersurface in Lorentzian space forms. As conformal invariant objects, spacelike Dupin hypersurfaces are studied in this paper using the framework of the conformal geometry of spacelike hypersurfaces. Further we classify the spacelike Dupin hypersurfaces with constant Möbius curvatures, which are also called conformal isoparametric hypersurface.
源语言 | 英语 |
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页(从-至) | 463-480 |
页数 | 18 |
期刊 | Journal of the Mathematical Society of Japan |
卷 | 70 |
期 | 2 |
DOI | |
出版状态 | 已出版 - 2018 |
指纹
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Li, T., & Nie, C. (2018). Spacelike Dupin hypersurfaces in Lorentzian space forms. Journal of the Mathematical Society of Japan, 70(2), 463-480. https://doi.org/10.2969/jmsj/07027573