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

页码：73 / 81

页数：9

共 39 条

[1] Improper affine hyperspheres with self-congruent center map
Houda Trabelsi
Monatshefte für Mathematik, 2007, 152 : 73 - 81
[2] Affine hypersurfaces with self congruent center map
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[3] Generic affine hypersurfaces with self congruent center map
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RESULTS IN MATHEMATICS, 2007, 51 (1-2) : 127 - 140
[4] Generic Affine Hypersurfaces with Self Congruent Center Map
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