CONSTANT CURVATURE FACTORABLE SURFACES IN 3-DIMENSIONAL ISOTROPIC SPACE

被引：2

作者：

Aydin, Muhittin Evren ^{[1
]}

机构：

[1] Firat Univ, Fac Sci, Dept Math, TR-23200 Elazig, Turkey

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 55卷 / 01期

关键词：

isotropic space; factorable surface; isotropic mean curvature; isotropic Gaussian curvature; MINIMAL TRANSLATION SURFACES; GEOMETRY; HYPERSURFACES;

D O I：

10.4134/JKMS.j160767

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we study and classify factorable surfaces in a 3-dimensional isotropic space with constant isotropic Gaussian (K) and mean curvature (H). We provide a non-existence result relating to such surfaces satisfying H/K - const. Several examples are also illustrated.

引用

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页码：59 / 71

页数：13

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