2-harmonic maps and their first and second variational formulas

被引：251

作者：

Jiang Guoying ^{[1
]}

机构：

[1] Fudan Univ, Inst Math, Shanghai, Peoples R China

来源：

NOTE DI MATEMATICA | 2008年 / 28卷

关键词：

harmonic maps; biharmonic maps; second variation formula;

D O I：

10.1285/i15900932v28n1supplp209

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [1], J. Eells and L. Lemaire introduced the notion of a k-harmonic map. In this paper we study the case k = 2, derive the first and second variational formulas of the 2-harmonic maps, give nontrivial examples of 2-harmonic maps and give proofs of nonexistence theorems of stable 2-harmonic maps.

引用

页码：209 / 232

页数：24