Thomsen surfaces in affine 4-space

被引：1
|
作者：
Vrancken, L
机构：
[1] K.U. Leuven, Department Wiskunde, B-3001 Leuven
来源：
MONATSHEFTE FUR MATHEMATIK | 1996年 / 122卷 / 03期
关键词：
affine differential geometry; Thomsen surfaces;
D O I：
10.1007/BF01320188
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Surfaces which are both affine and Euclidean minimal are called Thomsen surfaces. Ln R(3), these surfaces have been completely classified by BARTHEL, VOLKMER and HAUBITZ. A similar problem, in the Lorentzian 3-space was solved by MAGID. In the present paper, we study Thomsen surfaces in R(4) and show that these surfaces are affine equivalent to the complex paraboloid.
引用
收藏
页码：251 / 264
页数：14
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