与拉回度量相关泛函的f-稳态映射的刘维尔型定理（英文）  

LIOUVILLE TYPE THEOREMS OF f-STATIONARY MAPS OF A FUNCTIONAL RELATED TO PULLBACK METRICS

作　　者：韩英波[1] 冯书香[1] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《数学杂志》2015年第3期486-498,共13页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(10971029;11201400;11026062);Project of Henan Provincial Department of Education(2011A110015);Talent Youth Teacher Fund of Xinyang Normal University

摘　　要：本文研究了与拉回度量相关的广义泛函Φf.利用f-应力能力张量的方法,得到f-稳态映射的单调公式,消灭定理以及常Dirichlet边值问题在星型区域上的唯一常值解.In this paper, we investigate a generalized functional Of related to the pullback metric. By using the method of f-stress energy tensor, we obtain the monotonicity formulas, vanishing theorems and the unique constant solution of the constant Dirichlet boundary value problem on some starlike domain for f-stationary maps.

关 键 词：f-稳态映射 f-应力能量张量 单调公式 消灭定理 

分 类 号：O186.1[理学—数学]