F-CC调和映射的若干结果  

Some Results for F-CC-harmonic Maps

作　　者：冯书香 蒋凯歌 李静[3] FENG Shuxiang;JIANG Kaige;LI Jing(College of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,China;School of Mathematics,Sun Yat⁃Sen University,Guangzhou 510275,China;School of Science,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]信阳师范学院数学与统计学院,河南信阳464000 [2]中山大学数学学院,广东广州510275 [3]南京理工大学理学院,江苏南京210094

出　　处：《信阳师范学院学报（自然科学版）》2020年第1期31-36,共6页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11201400);河南省高校骨干教师培养计划项目(2016GGJS-096)

摘　　要：引入从黎曼流形到伪Hermitian流形间的F-CC调和映射的水平能量泛函.利用F-水平应力-能量张量的增长条件和该映射在无穷远点处的渐近条件得到一些刘维尔型结果.A horizontal energy functional forF-CC-harmonic maps is introduced from a Riemannian manifold to a pseudo-Hermitian manifold. Some Liouville type results are obtained for these maps under suitable growth conditions of theF-horizontal stress-energy and an asymptotic condition at the infinity for the maps.

关 键 词：F-CC调和映射 刘维尔型定理 F-水平应力-能量张量 

分 类 号：O186.1[理学—数学]