A generalization of translation surfaces with constant curvature in the isotropic space

被引：17
|
作者：
Aydin M.E. [1 ]
机构：
[1] Department of Mathematics, Faculty of Science, Firat University, Elazig
来源：
Journal of Geometry | 2016年 / 107卷 / 3期
关键词：
isotropic mean curvature; isotropic minimal; isotropic space; relative curvature; space curve; Translation surface;
D O I：
10.1007/s00022-015-0292-0
中图分类号：
学科分类号：
摘要：
In this paper we study the translation surfaces generated by a space curve and a planar curve in the isotropic 3-space I3. We completely classify such surfaces in I3 with constant curvature. Several examples are also given by figures. © 2015, Springer Basel AG.
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页码：603 / 615
页数：12
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