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

页码：251 / 264

页数：14

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