Affine translation surfaces with constant sectional curvature

被引：0
|
作者：
Magid M. [1 ]
Vrancken L. [2 ]
机构：
[1] Department of Mathematics, Wellesley College, Wellesley
[2] K.U. Leuven, Departement Wiskunde, B-3001 Leuven
来源：
Journal of Geometry | 2000年 / 68卷 / 1-2期
关键词：
Sectional Curvature; Gaussian Curvature; Translation Surface; Constant Sectional Curvature; Constant Gaussian Curvature;
D O I：
10.1007/BF01221071
中图分类号：
学科分类号：
摘要：
In this paper we characterize affine translation surfaces with constant Gaussian curvature. We show that such surfaces must be flat and that one of the defining curves must be planar. © Birkhäuser Verlag, 2000.
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页码：192 / 199
页数：7
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