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$fL_k$-Harmonic Maps and $fL_k$-Harmonic Morphisms
Mehran Aminian
,
Mehran Namjoo
Abstract
In this paper, we introduce $fL_k$-energy functionals; and by deriving variations of these functionals, we define $fL_k$-harmonic maps between Riemannian manifolds. Hereafter, by using these definitions, we introduce $fL_k$-harmonic morphisms, and then we find a relation between $fL_k$-harmonic maps and $fL_k$-harmonic morphisms.