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

Şerife Nur Bozdağ; Selcen Yüksel Perktaş; Feyza Esra Erdoğan

doi:10.1007/s40065-022-00405-w

Arabian Journal of Mathematics (Oct 2022)

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

Şerife Nur Bozdağ,
Selcen Yüksel Perktaş,
Feyza Esra Erdoğan

Affiliations

Şerife Nur Bozdağ: Department of Mathematics, Ege University
Selcen Yüksel Perktaş: Department of Mathematics, Adıyaman University
Feyza Esra Erdoğan: Department of Mathematics, Ege University

DOI: https://doi.org/10.1007/s40065-022-00405-w
Journal volume & issue: Vol. 12, no. 1
pp. 89 – 103

Abstract

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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.

Published in Arabian Journal of Mathematics

ISSN: 2193-5343 (Print); 2193-5351 (Online)
Publisher: SpringerOpen
Country of publisher: Germany
LCC subjects: Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; Science: Mathematics
Website: http://www.springer.com/40065

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