LINEAR WEINGARTEN SURFACES FOLIATED BY CIRCLES IN MINKOWSKI SPACE

被引:0
|
作者
Kalkan, Ozgur Boyacioglu [2 ]
Lopez, Rafael [1 ]
Saglam, Derya [2 ]
机构
[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain
[2] Afyon Kocatepe Univ, Dept Math, TR-03200 Afyon, Turkey
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 05期
关键词
Minkowski space; Spacelike surface; Weingarten surface; MAXIMAL SURFACES; CURVATURE; REPRESENTATION; 3-SPACE; L-3;
D O I
10.11650/twjm/1500406413
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this work, we study spacelike surfaces in Minkowski space E(1)(3) foliated by pieces of circles that satisfy a linear Weingarten condition of type aH + bK = c, where a, b and c are constants and H and K denote the mean curvature and the Gauss curvature respectively. We show that such surfaces must be surfaces of revolution or surfaces with constant mean curvature H = 0 or surfaces with constant Gauss curvature K = 0.
引用
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页码:1897 / 1917
页数:21
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