The generalized divergence theorem and its application to harmonic maps
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Date
2001
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Publisher
Pergamon-elsevier Science Ltd
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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
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Keywords
semi-Riemannian manifold, divergence theorem, Laplacian and divergence of a vector field along a map, harmonic map, closed geodesic
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1
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Source
3rd World Congress of Nonlinear Analysts -- JUL 19-26, 2000 -- CATANIA, ITALY
Volume
47
Issue
5
Start Page
2995
End Page
3004