Translation surfaces of constant curvatures in a simply isotropic space

被引:0
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作者
Željka Milin Šipuš
机构
[1] University of Zagreb,Department of Mathematics
来源
Periodica Mathematica Hungarica | 2014年 / 68卷
关键词
Simply isotropic space; Translation surface; Weingarten surface; 53A35; 53A40;
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摘要
In this paper we describe, up to a congruence, translation surfaces in a simply isotropic space having constant isotropic Gaussian or mean curvature. It turns out that, contrary to the Euclidean case, there exist translation surfaces with constant Gaussian curvature K≠0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$K\ne 0$$\end{document} and translation surfaces with constant mean curvature H≠0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H\ne 0$$\end{document} that are not cylindrical. Furthermore, we investigate a class of Weingarten translation surfaces.
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页码:160 / 175
页数:15
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