CC-稳态映射的刘维尔型定理  

Liouville Type Theorems for CC-stationary Maps

作　　者：韩英波[1] 张倩玉[1] 喻丽菊[2] 

机构地区：[1]信阳师范学院数学与统计学院,河南信阳464000 [2]嘉兴学院数理学院,浙江嘉兴314000

出　　处：《信阳师范学院学报（自然科学版）》2017年第1期22-27,共6页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11201400)

摘　　要：引进了从黎曼流形到伪Hermitian流形上映射的水平泛函ΦH,这种泛函的临界映射称为CC-稳态映射.利用水平应力能量张量,得到从黎曼流形出发到伪Hermitian流形上的水平CC-稳态映射和从黎曼流形出发到Sasakian流形上的CC-稳态映射的能量单调公式及刘维尔型结果.A horizontal functionalΦHfor the maps from Riemannian manifold to pseudo-Hermitian manifold was introduced,the critical maps of this functional were called CC-stationary maps.Then by using horizontal stress-energy tensor,some monotonicity formulas and Liouville type theorems were obtained for the horizontal CC-stationary maps from Riemannian manifold to pseudo-Hermitian manifold or the CC-stationary maps from Riemannian manifold to Sasakian manifold.

关 键 词：CC-稳态映射 伪Hermitian流形 刘维尔型结果 

分 类 号：O186.1[理学—数学]