Improper affine hyperspheres with self-congruent center map

被引：2
|
作者：
Trabelsi, Houda [1 ]
机构：
[1] Univ Valenciennes, ISTV2, LAMATH, F-59313 Valenciennes 9, France
来源：
MONATSHEFTE FUR MATHEMATIK | 2007年 / 152卷 / 01期
关键词：
affine differential geometry; Monge-Ampere equations;
D O I：
10.1007/s00605-007-0473-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study n-dimensional improper affine spheres of which the center map is congruent to the original immersion. We show how to construct such hypersurfaces starting from (n - 1)-dimensional proper elliptic affine hyperspheres. We also show that they correspond to solutions of the Monge-Ampere equations which are homogeneous of degree 2.
引用
收藏
页码：73 / 81
页数：9
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