On Bi-f-Harmonic Legendre Curves in Sasakian Space Forms

Bozdağ, Şerife Nur

doi:10.54974/fcmathsci.1055588

Fundamentals of Contemporary Mathematical Sciences

2022

DOI: 10.54974/fcmathsci.1055588

|View full text |Cite

On Bi-f-Harmonic Legendre Curves in Sasakian Space Forms

Şerife Nur Bozdağ

Abstract: In this study, we consider bi-f-harmonic Legendre curves in Sasakian space forms. We investigate necessary and sufficient conditions for a Legendre curve to be bi-f-harmonic in various cases.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Bi-$f$-Harmonic Legendre Curves on $(\alpha,\beta)$-Trans-Sasakian Generalized Sasakian Space Forms

Bozdağ,

Yüksel Perktaş,

Erdoğan

2024

Journal of New Theory

View full text Add to dashboard Cite

In this study, we consider bi-$f$-harmonic Legendre curves on $(\alpha,\beta)$-trans-Sasakian generalized Sasakian space form. We provide the necessary and sufficient conditions for a Legendre curve to be bi-$f$-harmonic on $(\alpha,\beta)$-trans-Sasakian generalized Sasakian space form without any restrictions by a main theorem. Afterward, we investigate these conditions under nine different cases. As a result of these investigations, we obtain the original theorems and corollaries as well as the nonexistence theorems. We perform these investigations according to the $\rho_{2}$ and $\rho_{3}$ functions from the curvature tensor of the $(\alpha,\beta)$-trans-Sasakian generalized Sasakian space form, the curvature and torsion of the bi-$f$-harmonic Legendre curve, and finally, the positions of the basis vectors relative to each other.

show abstract

Bi-$f$-Harmonic Legendre Curves on $(\alpha,\beta)$-Trans-Sasakian Generalized Sasakian Space Forms

Bozdağ,

Yüksel Perktaş,

Erdoğan

2024

Journal of New Theory

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

On Bi-f-Harmonic Legendre Curves in Sasakian Space Forms

Abstract: In this study, we consider bi-f-harmonic Legendre curves in Sasakian space forms. We investigate necessary and sufficient conditions for a Legendre curve to be bi-f-harmonic in various cases.

Cited by 1 publication

References 14 publications

Bi-$f$-Harmonic Legendre Curves on $(\alpha,\beta)$-Trans-Sasakian Generalized Sasakian Space Forms

Bi-$f$-Harmonic Legendre Curves on $(\alpha,\beta)$-Trans-Sasakian Generalized Sasakian Space Forms

Contact Info

Product

Resources

About