Partial energies monotonicity and holomorphicity of Hermitian pluriharmonic maps

作     者：YANG GuiLin HAN YingBo DONG YuXin 

作者机构：School of Mathematical SciencesFudan University Key Laboratory of Mathematics for Nonlinear SciencesMinistry of EducationFudan University College of Mathematics and Information ScienceXinyang Normal University 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2013年第56卷第5期

页      面：1019-1032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：supported by National Natural Science Foundation of China(Grant Nos.11271071,11201400,10971029 and 11026062) Project of Henan Provincial Department of Education(Grant No.2011A110015) Talent Youth Teacher Fund of Xinyang Normal University 

主　　题：stress energy tensor monotonicity formula Hermitian pluriharmonic map holomorphic map 

摘      要：In this paper, we introduce the notion of Hermitian pluriharmonic maps from Hermitian manifold into Kiihler manifold. Assuming the domain manifolds possess some special exhaustion functions and the vecotor field V = JMδJM satisfies some decay conditions, we use stress-energy tensors to establish some monotonicity formulas of partial energies of Hermitian pluriharmonic maps. These monotonicity inequalities enable us to derive some holomorphicity for these Hermitian pluriharmonic maps.