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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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