ON SURFACES IN THE 3-DIMENSIONAL LORENTZ-MINKOWSKI SPACE

被引：38
|
作者：
FERRANDEZ, A
LUCAS, P
机构：
[1] Universidad de Murcia, Espinardo, Murcia
来源：
PACIFIC JOURNAL OF MATHEMATICS | 1992年 / 152卷 / 01期
关键词：
D O I：
10.2140/pjm.1992.152.93
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let M(s)2 be a surface in the 3-dimensional Lorentz-Minkowski space L3 and denote by H its mean curvature vector field. This paper locally classifies those surfaces verifying the condition DELTA-H = lambda-H, where lambda is a real constant. The classification is done by proving that M(s)2 has zero mean curvature everywhere or it is isoparametric, i.e., its shape operator has constant characteristic polynomial.
引用
收藏
页码：93 / 100
页数：8
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