同济大学学报(自然科学版)2012,Vol.40Issue(5):772-774,806,4.DOI:10.3969/j.issn.0253-374x.2012.05.022
调和映射的刘维尔型定理
A Liouville Type Theorem of Harmonic Maps
摘要
Abstract
Assuming the radial sectional curvature Kr of the target manifold satisfies | Kr(x)|≤k(1-k)/r2 where x0 is a pole, k is a constant satisfying some conditions, a harmonic map to any image manifold with slowly divergent energy must be constant. Then it improves the theorems of Reference [3-4] raised.关键词
径向截曲率/能量慢发散/调和映射Key words
radial sectional curvature/ slowly divergent energy/ harmonic map分类
数理科学引用本文复制引用
周朝晖,陈志华..调和映射的刘维尔型定理[J].同济大学学报(自然科学版),2012,40(5):772-774,806,4.基金项目
国家自然科学基金项目(11171255) (11171255)