The Generalized Divergence Theorem and Its Application To Harmonic Maps
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Date
2001
Authors
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Journal ISSN
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Publisher
Pergamon-elsevier Science Ltd
Open Access Color
Green Open Access
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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
ORCID
Keywords
semi-Riemannian manifold, divergence theorem, Laplacian and divergence of a vector field along a map, harmonic map, closed geodesic, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Differential geometric aspects of harmonic maps, Harmonic maps, etc.
Fields of Science
0101 mathematics, 01 natural sciences
Citation
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N/A
Source
3rd World Congress of Nonlinear Analysts -- JUL 19-26, 2000 -- CATANIA, ITALY
Volume
47
Issue
5
Start Page
2995
End Page
3004
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