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

页码：1897 / 1917

页数：21

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