The generalized divergence theorem and its application to harmonic maps

被引：1

作者：

García-Río, E ^{[1
]}

Kupeli, DN

机构：

[1] Univ Santiago de Compostela, Dept Geometry & Topol, Fac Math, Santiago De Compostela 15706, Spain

[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 05期

关键词：

semi-Riemannian manifold; divergence theorem; Laplacian and divergence of a vector field along a map; harmonic map; closed geodesic;

D O I：

10.1016/S0362-546X(01)00420-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A survey of divergence theorems in semi-Riemannian geometry is made. The generalization of a divergence theorem to vector fields along a map is given in semi-Riemannian geometry and an application of it is made in Riemannian geometry to obtain some sufficient conditions for a map to be harmonic.

引用

页码：2995 / 3004

页数：10

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