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.

引用

页码：237 / 248

页数：12

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