Bi-$f$-harmonic curves and hypersurfaces
Differential Geometry
2025-08-04 v1
Abstract
In the present paper, we study bi--harmonic maps which generalize not only -harmonic maps, but also biharmonic maps. We derive bi--harmonic equations for curves in the Euclidean space, unit sphere, hyperbolic space, and in hypersurfaces of Riemannian manifolds.
Keywords
Cite
@article{arxiv.1805.03261,
title = {Bi-$f$-harmonic curves and hypersurfaces},
author = {Selcen Yüksel Perktaş and Adara Monica Blaga and Feyza Esra Erdoğan and Bilal Eftal Acet},
journal= {arXiv preprint arXiv:1805.03261},
year = {2025}
}
Comments
22 pages