REMARKS OF EXPONENTIALLY HARMONIC MAPS

被引：0
|
作者：
Chiang, Yuan-Jen [1 ]
机构：
[1] Univ Mary Washington, Dept Math, Fredericksburg, VA 22401 USA
来源：
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES | 2018年 / 63卷 / 03期
关键词：
exponential energy; exponentially harmonic map; monotonicity;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (M, g(0)) be a complete Riemannian manifold with a pole x(0) and (N, h) be a Riemannian manifold. We show that if f : (M, eta(2) g(0)) -> (N, h) is an exponentially harmonic map such that eta (a smooth function on M) satisfies some condition (*), then certain monotonicity formula is derived. We study the monotonicity of exponentially harmonic maps under a few different circumstances and discuss their vanishing.
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页码：237 / 248
页数：12
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