The generalized divergence theorem and its application to harmonic maps

Authors
Garcia-Rio, E Kupeli, DN
Citation
E. Garcia-rio et Dn. Kupeli, The generalized divergence theorem and its application to harmonic maps, NONLIN ANAL, 47(5), 2001, pp. 2995-3004
Citations number
9
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
5
Year of publication
2001
Part
5
Pages
2995 - 3004
Database
ISI
SICI code
0362-546X(200108)47:5<2995:TGDTAI>2.0.ZU;2-J
Abstract
A survey of divergence theorems in semi-Riemannian geometry is made. The ge neralization 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.