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$f L_{k}$ -Harmonic Maps and $f L_{k}$ -Harmonic Morphisms

$icon-email$ Mehran Aminian , Mehran Namjoo

Abstract

In this paper, we introduce $f L_{k}$ -energy functionals; and by deriving variations of these functionals, we define $f L_{k}$ -harmonic maps between Riemannian manifolds. Hereafter, by using these definitions, we introduce $f L_{k}$ -harmonic morphisms, and then we find a relation between $f L_{k}$ -harmonic maps and $f L_{k}$ -harmonic morphisms.

Acta Mathematica Vietnamica

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fLk-Harmonic Maps and fLk-Harmonic Morphisms

Abstract

$f L_{k}$ -Harmonic Maps and $f L_{k}$ -Harmonic Morphisms