The generalized divergence theorem and its application to harmonic maps
No Thumbnail Available
Date
2001
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Abstract
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.
Description
Garcia-Rio, Eduardo/0000-0003-1195-1664
Keywords
semi-Riemannian manifold, divergence theorem, Laplacian and divergence of a vector field along a map, harmonic map, closed geodesic
Turkish CoHE Thesis Center URL
Citation
1
WoS Q
Q1
Scopus Q
Q2
Source
3rd World Congress of Nonlinear Analysts -- JUL 19-26, 2000 -- CATANIA, ITALY
Volume
47
Issue
5
Start Page
2995
End Page
3004