The classification of 3-dimensional Lorentzian affine hypersurfaces with parallel cubic form |
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| Authors: | Zejun Hu Cece Li |
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| Institution: | Department of Mathematics, Zhengzhou University, Zhengzhou 450052, People?s Republic of China |
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| Abstract: | We study Lorentzian affine hypersurfaces in Rn+1 with parallel cubic form with respect to the Levi-Civita connection of the affine metric. As main result, a complete classification of such non-degenerate affine hypersurfaces in R4 is given. |
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| Keywords: | primary 53A15 secondary 53B25 53B30 |
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