数学物理学报 ›› 2005, Vol. 25 ›› Issue (6): 799-805.

• 论文 • 上一篇    下一篇

靶流形为齐次流形的弱次椭圆Q调和映射的正则性

 周振荣   

  1. 华中师范大学数学与统计学学院 |武汉 430079
  • 出版日期:2005-12-24 发布日期:2005-12-24
  • 基金资助:

    国家自然科学基金(10371047、10571068)资助

Regularity of Subelliptic Q Harmonic Maps into Homogeneous Manifolds

 ZHOU Zhen-Rong   

  • Online:2005-12-24 Published:2005-12-24
  • Supported by:

    国家自然科学基金(10371047、10571068)资助

摘要:

该文证明了靶流形为齐次流形的弱次椭圆Q调和映射是内部正则的,这里Q是定义域的 齐次维数。这一结果推广了Hajlasz和Strzelecki的相应结果[2].作为推论得到了靶流形为齐次流形的p维p调和映射的正则性.

关键词: 次椭圆;对称流形;齐次维数

Abstract:

In this paper, the author  proves that weak subelliptic Q harmonic maps int o manifolds with symmetry are regular where Q is the homogeneous dimension of the domain. This  generalizes the Hajlasz and Strzelecki's results of [2]. As a consequence, the  author   obtains the regularity of  pharmonic maps from p dimensional manifolds  into homogeneous spaces, which is proved by T.Toro and C.Wang in [12].

Key words: Subelliptic; , Manifold with symmetry, Homogeneous di mension

中图分类号: 

  • 58E20