DECOMPOSABLE AFFINE HYPERSURFACES
DECOMPOSABLE AFFINE HYPERSURFACES
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DOI：
10.2206/kyushujm.68.093
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发表时间：
2014
影响因子：
0.4
通讯作者：
M. Antić;F. Dillen;Kristof Schoels;L. Vrancken
中科院分区：
文献类型：
--
作者：
M. Antić;F. Dillen;Kristof Schoels;L. Vrancken
In affine differential geometry, Calabi discovered how to associate a new hyperbolic affine hypersphere with two hyperbolic affine hyperspheres. This was later generalized by Dillen and Vrancken in order to obtain a large class of examples of equiaffine homogeneous affine hypersurfaces. Note that the constructions defined above remain valid if one of the affine hyperspheres is a point. In this paper we consider the converse question: how can we determine, given properties of the difference tensor K and the affine shape operator S, whether a given hypersurface can be decomposed as a generalized Calabi product of an affine sphere and a point?
