On locally strongly convex affine hypersurfaces with parallel cubic form. Part I | |
Hu, Zejun ; Li, Haizhong ; Simon, Udo ; Vrancken, Luc | |
2010-10-12 ; 2010-10-12 | |
关键词 | Affine hyperspheres Parallel cubic Pick form Einstein Blaschke metric DIFFERENTIAL GEOMETRY SURFACES HYPERSPHERES SPHERES Mathematics, Applied Mathematics |
中文摘要 | In this paper, we study locally strongly convex affine hypersurfaces of Rn+1 that have parallel cubic form with respect to the Levi-Civita connection of the affine Berwald-Blaschke metric: it is known that they are affine spheres. In dimension n <= 7 we give a complete classification of such hypersurfaces; in particular, we present new examples of affine spheres. (C) 2008 Elsevier B.V. All rights reserved. |
语种 | 英语 ; 英语 |
出版者 | ELSEVIER SCIENCE BV ; AMSTERDAM ; PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS |
内容类型 | 期刊论文 |
源URL | [http://hdl.handle.net/123456789/81328] |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Hu, Zejun,Li, Haizhong,Simon, Udo,et al. On locally strongly convex affine hypersurfaces with parallel cubic form. Part I[J],2010, 2010. |
APA | Hu, Zejun,Li, Haizhong,Simon, Udo,&Vrancken, Luc.(2010).On locally strongly convex affine hypersurfaces with parallel cubic form. Part I.. |
MLA | Hu, Zejun,et al."On locally strongly convex affine hypersurfaces with parallel cubic form. Part I".(2010). |
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