LORENTZ HYPERSURFACES IN E14 SATISFYING Δ(H)over-right-arrow = α(H)over-right-arrow

被引：36

作者：

Arvanitoyeorgos, A. ^{[1
]}

Kaimakamis, G. ^{[2
]}

Magid, M. ^{[3
]}

机构：

[1] Univ Patras, Dept Math, GR-26500 Rion, Greece

[2] Hellen Army Acad, GR-16673 Vari, Attica, Greece

[3] Wellesley Coll, Dept Math, Wellesley, MA 02481 USA

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2009年 / 53卷 / 02期

关键词：

MINKOWSKI SPACE; SUBMANIFOLDS; TIME;

D O I：

10.1215/ijm/1266934794

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A hypersurface M-1(3) in the four-dimensional pseudo-Euclidean space E-1(4) is called a Lorentz hypersurface if its normal vector is space-like. We show that if the mean curvature vector field of M-1(3) satisfies the equation Delta(H) over right arrow = alpha(H) over right arrow (alpha a constant), then M-1(3) has constant mean curvature. This equation is a natural generalization of the biharmonic submanifold equation Delta(H) over right arrow = (0) over right arrow.

引用

页码：581 / 590

页数：10

共 19 条

[1]

[Anonymous], COLLOQ MATH

[2] Biharmonic Lorentz hypersurfaces in E14 [J].