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arXiv · 1805.03261

Bi-$f$-harmonic curves and hypersurfaces

Selcen Yüksel Perktaş·Adara Monica Blaga·Feyza Esra Erdoğan·Bilal Eftal Acet
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Abstract

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 in hypersurfaces of Riemannian manifolds.

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Selcen Yüksel Perktaş, Adara Monica Blaga, Feyza Esra Erdoğan, Bilal Eftal Acet. 2018-05-08. Bi-$f$-harmonic curves and hypersurfaces. https://arxiv.org/abs/1805.03261

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