Improper affine hyperspheres with self-congruent center map

被引：0
作者：
Houda Trabelsi
机构：
[1] Université de Valenciennes,
来源：
Monatshefte für Mathematik | 2007年 / 152卷
关键词：
2000 Mathematics Subject Classification: 53A15; Key words: Affine differential geometry, Monge-Ampère equations;
D O I：
暂无
中图分类号：
学科分类号：
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-Ampère equations which are homogeneous of degree 2.
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页码：73 / 81
页数：8
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