Bi-$f$-harmonic curves and hypersurfaces

Selcen Y\"{u}ksel Perkta\c{s}, Adara M. Blaga, Feyza Esra Erdo\u{g}an, Bilal Eftal Acet


In the present paper, we study bi-$f$-harmonic maps which generalize not
only $f$-harmonic maps, but also biharmonic maps. We derive bi-$f$-harmonic equations for curves in the Euclidean space, unit sphere, hyperbolic space, and for hypersurfaces of Riemannian manifolds.


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