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Main Authors: Perktaş, Selcen Yüksel, Blaga, Adara Monica, Erdoğan, Feyza Esra, Acet, Bilal Eftal
Format: Preprint
Published: 2018
Subjects:
Online Access:https://arxiv.org/abs/1805.03261
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author Perktaş, Selcen Yüksel
Blaga, Adara Monica
Erdoğan, Feyza Esra
Acet, Bilal Eftal
author_facet Perktaş, Selcen Yüksel
Blaga, Adara Monica
Erdoğan, Feyza Esra
Acet, Bilal Eftal
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1805_03261
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle Bi-$f$-harmonic curves and hypersurfaces
Perktaş, Selcen Yüksel
Blaga, Adara Monica
Erdoğan, Feyza Esra
Acet, Bilal Eftal
Differential Geometry
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.
title Bi-$f$-harmonic curves and hypersurfaces
topic Differential Geometry
url https://arxiv.org/abs/1805.03261