Monotonicity formulae and Liouville theorems of harmonic maps with potential

被引：12

作者：

Lin, Hezi ^{[1
]}

Yang, Guilin ^{[1
]}

Ren, Yibin ^{[1
]}

Chong, Tian ^{[1
]}

机构：

[1] Fudan Univ, Shanghai 200433, Peoples R China

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2012年 / 62卷 / 09期

关键词：

Harmonic maps with potential; Stress-energy tensor; Liouville theorem;

D O I：

10.1016/j.geomphys.2012.04.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the stress-energy tensor to obtain the monotonicity formula and vanishing theorems for harmonic maps with potential H under some conditions on H. We also obtain the unique constant solution of the constant Dirichlet boundary value problem on some starlike domain for harmonic maps with potential. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：1939 / 1948

页数：10

共 9 条

[1]

Baird P., 1981, LECT NOTES MATH, V894, P1

[2] Stress-energy tensors and the Lichnerowicz Laplacian [J].