摘要
得到了始于Cartan-Hadamard流形的指数调和映照在能量慢发散假定下的Liouville型定理, 证明了基于指数应力一能量张量及Hessian比较定理、Laplace比较定理.
The Liouville theorems for exponentially harmonic maps from Cartan-Hadamard manifolds are proved under the assumptions of the slowly divergent energy. Our proof is based on exponentially stress-energy tensor together with Laplace and Hessian comparison theorems.
出处
《兰州大学学报(自然科学版)》
CAS
CSCD
北大核心
2005年第6期122-124,共3页
Journal of Lanzhou University(Natural Sciences)
基金
数学天元基金(A0324662)
国家自然科学基金(10571129)资助项目.
关键词
指数调和映照
能量慢发散
指数应力-能量张量
exponentially harmonic maps
slowly divergent energy
exponentially stress-energy tensor