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.
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页码：2995 / 3004
页数：10
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