Uniqueness and regularity of proper harmonic maps
Uniqueness and regularity of proper harmonic maps
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DOI：
10.2307/2946622
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发表时间：
1993
影响因子：
4.9
通讯作者：
Peter Li;Luen-Fai Tam
中科院分区：
文献类型：
--
作者：
Peter Li;Luen-Fai Tam
引言本文的目的是研究双曲空间之间的真调和映射无穷远Dirichlet问题的一些唯一性和正则性。一般地，如果两个完备非紧流形Mm和N'的度量分别由ds 2 = iMj gij dxzdx j和dsy = -En h：，3 du'du$局部给出，则C1映射u：M-N的能量密度函数定义为：
Introduction The purpose of this paper is to study some uniqueness and regularity properties of the Dirichlet problem at infinity for proper harmonic maps between hyperbolic spaces. In general, if the metrics of two complete noncompact manifolds Mm and N' are given locally by ds2 = iMj gij dxzdxj and dsy = -En h:,3 du'du$, respectively, then the energy-density function of a C1 map u: M -N is defined by