On the Construction of p-Harmonic Morphisms and Conformal Actions

作     者：Xiao Huan MO Li Bing HUANG Yuan Zheng ZHANG 

作者机构：School of Mathematical Sciences Peking University Beijing 100871 P. R. China and Department of Applied Mathematics Shanghai University of Finance and EconomicsShanghai 200433 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2007年第23卷第8期

页      面：1475-1484页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work is supported by the National Natural Science Foundation of China(10471001) 

主　　题：p-harmonic morphism Clifford system homogeneous function conformal field 

摘      要：We produce p-harmonic morphisms by conformal foliations and Clifford systems. First, we give a useful criterion for a foliation on an m-dimensional Riemannian manifold locally generated by conformal fields to produce p-harmonic morphisms. By using this criterion we manufacture conformal foliations, with codimension not equal to p, which are locally the fibres of p-harmonic morphisms. Then we give a new approach for the construction of p-harmonic morphisms from R^m／{0} to R^n. By the well-known representation of Clifford algebras, we find an abundance of the new 2/3 （m ＋ 1）-harmonic morphism Ф： R^m／{0} → R^n where m = 2κδ（n - 1）.