Timelike surfaces with constant mean curvature in Lorentz three-space

被引：16
|
作者：
López, R [1 ]
机构：
[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain
来源：
TOHOKU MATHEMATICAL JOURNAL | 2000年 / 52卷 / 04期
关键词：
D O I：
10.2748/tmj/1178207753
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A cyclic surface in the Lorentz-Minkowski three-space is one that is foliated by circles. We classify all maximal cyclic timelike surfaces in this space, obtaining different families of non-rotational maximal surfaces. When the mean curvature is a non-zero constant, we prove that if the surface is foliated by circles in parallel planes, then it must be rotational. In particular, we obtain all timelike surfaces of revolution with constant mean curvature.
引用
收藏
页码：515 / 532
页数：18
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