On some curves in three-dimensional $$\beta $$ β -Kenmotsu manifolds

Abstract This paper is devoted to examine necessary and sufficient conditions for a Frenet curve to be f-harmonic, f-biharmonic, bi-f-harmonic and f-biminimal in three-dimensional $$\beta $$ β -Kenmotsu manifolds. In addition, such conditions are investigated for slant curves.

Bibliographic Details
Main Authors: Şerife Nur Bozdağ, Selcen Yüksel Perktaş, Feyza Esra Erdoğan
Format: Article
Language:English
Published: SpringerOpen 2022-10-01
Series:Arabian Journal of Mathematics
Subjects:
Online Access:https://doi.org/10.1007/s40065-022-00405-w
Description
Summary:Abstract This paper is devoted to examine necessary and sufficient conditions for a Frenet curve to be f-harmonic, f-biharmonic, bi-f-harmonic and f-biminimal in three-dimensional $$\beta $$ β -Kenmotsu manifolds. In addition, such conditions are investigated for slant curves.
ISSN:2193-5343
2193-5351