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;
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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.
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