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http://dx.doi.org/10.5666/KMJ.2015.55.3.715

Geometry of Energy and Bienergy Variations between Riemannian Manifolds  

CHERIF, AHMED MOHAMED (Department of Mathematics, Mascara National University)
DJAA, MUSTAPHA (Department of Mathematics, Relizane University)
Publication Information
Kyungpook Mathematical Journal / v.55, no.3, 2015 , pp. 715-730 More about this Journal
Abstract
In this note, we extend the definition of harmonic and biharmonic maps via the variation of energy and bienergy between two Riemannian manifolds. In particular we present some new properties for the generalized stress energy tensor and the divergence of the generalized stress bienergy.
Keywords
Energy variation; L-harmonic maps; L-biharmonic maps; Stress L-bi-energy tensors;
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