Compactification of moduli space of harmonic mappings

被引：44

作者：

Chen, JY ^{[1
]}

Tian, G ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

COMMENTARII MATHEMATICI HELVETICI | 1999年 / 74卷 / 02期

关键词：

compactness; harmonic maps; stratified Riemann surface;

D O I：

10.1007/s000140050086

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notion of harmonic nodal maps from the stratified Riemann surfaces into any compact Riemannian manifolds and prove that the space of the energy minimizing nodal maps is sequentially compact. We also give an existence result for the energy minimizing nodal maps. As an application, we obtain a general existence theorem for minimal surfaces with arbitrary genus in any compact Riemannian manifolds

引用

页码：201 / 237

页数：37

共 31 条

[1] ON THE RADIAL BEHAVIOR OF MINIMAL-SURFACES AND THE UNIQUENESS OF THEIR TANGENT-CONES [J].