F-H-调和映照的刘维尔型定理  

Liouville-type theorems for F-H-harmonic maps

作　　者：种田 邱紫阳 CHONG Tian;QIU Ziyang(School of Mathematics,Physics and Statistics,Shanghai Polytechnic University,Shanghai 201209,China;Xi'an Gaoxin No.1 Fengdong High School,Xi'an 710086,China)

机构地区：[1]上海第二工业大学数理与统计学院,上海201209 [2]西安高新一中沣东中学,西安710086

出　　处：《华中师范大学学报（自然科学版）》2024年第5期519-525,共7页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(12001360).

摘　　要：该文研究了从黎曼流形出发到叶状黎曼流形的光滑映照和相应的F-水平能量泛函,称此类能量变分的临界点为F-H-调和映照,利用F-水平应力能量张量建立了关于F-水平能量增长性条件下F-H-调和映照的刘维尔型定理.An F-horizontal energy functional is considered for maps from a Riemannian manifold to a Riemannian manifold with Riemannian foliation.The critical maps of this energy functional are called F-H-harmonic maps.Some Liouville-type theorems are established for F-H-harmonic maps under some growth conditions of the F-horizontal energy.

关 键 词：叶状黎曼流形 F-H-调和映照 刘维尔型定理 

分 类 号：O186.1[理学—数学]