Meridian Surfaces with Constant Mean Curvature in Pseudo-Euclidean 4-Space with Neutral Metric

被引：0

作者：

Betül Bulca

Velichka Milousheva

机构：

[1] Uludağ University,Department of Mathematics

[2] Bulgarian Academy of Sciences,Institute of Mathematics and Informatics

[3] “L. Karavelov” Civil Engineering Higher School,undefined

来源：

Mediterranean Journal of Mathematics | 2017年 / 14卷

关键词：

Meridian surfaces; Quasi-minimal surfaces; Constant mean curvature; Pseudo-Euclidean space with neutral metric; 53A35; 53B30; 53B25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the present paper we consider a special class of Lorentz surfaces in the four-dimensional pseudo-Euclidean space with neutral metric which are one-parameter systems of meridians of rotational hypersurfaces with timelike, spacelike, or lightlike axis and call them meridian surfaces. We give the complete classification of minimal and quasi-minimal meridian surfaces. We also classify the meridian surfaces with non-zero constant mean curvature.

引用

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