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Characterization of the generalized Calabi composition of affine hyperspheres |
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| Authors: | Miroslava Antić Ze Jun Hu Ce Ce Li Luc Vrancken |
| Institution: | 1. University of Belgrade, Faculty of Mathematics, Studentski trg 16, Pb. 550, 11000 Belgrade, Serbia; 2. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, P. R. China; 3. School of Mathematics and Statistics, He'nan University of Science and Technology, Luoyang 471023, P. R. China; 4. UVHC, LAMAV, F-59313 Valenciennes, France; 5. Katholieke Universiteit Leuven, Departement Wiskunde, BE-3001 Leuven, Belgium |
| Abstract: | In this paper, continuing with Hu-Li-Vrancken and the recent work of Anti?-Dillen-Schoels-Vrancken, we obtain a decomposition theorem which settled the problem of how to determine whether a given locally strongly convex affine hypersurface can be decomposed as a generalized Calabi composition of two affine hyperspheres, based on the properties of its difference tensor K and its affine shape operator S. |
| Keywords: | Generalized Calabi composition affine hyperspheres warped product |
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