The classification of 4-dimensional non-degenerate affine hypersurfaces with parallel cubic form |
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| Authors: | Zejun Hu Cece Li Haizhong Li Luc Vrancken |
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| Affiliation: | 1. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, People’s Republic of China;2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People’s Republic of China;3. University Lille Nord de France, F-59000 Lille, France;4. UVHC, LAMAV, F-59313 Valenciennes, France;5. Katholieke Universiteit Leuven, Departement Wiskunde, BE-3001 Leuven, Belgium |
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| Abstract: | ![]()
In this paper, we complete the classification of 4-dimensional non-degenerate affine hypersurfaces with parallel cubic form with respect to the Levi-Civita connection of the affine Berwald–Blaschke metric. |
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| Keywords: | primary, 53A15 secondary, 53B25, 53B30 |
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