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Geometry of Energy and Bienergy Variations between Riemannian Manifolds

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In this note, we extend the de¯nition 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.

Abstract

In this note, we extend the de¯nition 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.

참고문헌 (16)

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  14. 1 Feb 2006, "2006", ~
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