On $f$-biharmonic and bi-$f$-harmonic Frenet Legendre curves

Authors

Keywords:

Frenet Curves, Legendre Curves, Normal Almost Paracontact Metric Manifolds, f-Harmonic Curves, f-Biharmonic Curves, Bi-f-Harmonic Curves, f-Biminimal Curves

Abstract

This paper is devoted to study the f-harmonic, f-biharmonic, bi-f-harmonic, biminimal and f-biminimal Frenet Legendre curves in three dimensional normal almost paracontact metric manifolds and to determine the necessary and sufficient conditions for these properties. Besides these, some characterizations for such curves have been defined in particular cases of a three dimensional normal almost paracontact metric manifold and some absence theorems have been obtained.

JournalMIM_V5_I2_2022

Downloads

Published

2022-09-12

How to Cite

Bozdağ, Şerife N., & Erdoğan, F. E. (2022). On $f$-biharmonic and bi-$f$-harmonic Frenet Legendre curves. International Journal of Maps in Mathematics, 5(2), 112–138. Retrieved from http://www.journalmim.com/index.php/journalMIM/article/view/95

Issue

Vol. 5 No. 2 (2022): International Journal of Maps in Mathematics

Section

Articles

License

The copyright to the article is transferred to body International Journal of Maps in Mathematics effective if and when the article is accepted for publication.

  • The copyright transfer covers the exclusive right to reproduce and distribute the article, including reprints, translations, photographic reproductions, microform, electronic form (offline, online) or any other reproductions of similar nature.
  • An author may make his/her article published by body International Journal of Maps in Mathematics available on his/her home page provided the source of the published article is cited and body International Journal of Maps in Mathematics is mentioned as copyright owner.
  • The author warrants that this contribution is original and that he/she has full power to make this grant. The author signs for and accepts responsibility for releasing this material on behalf of any and all co-authors. After submission of this agreement signed by the corresponding author, changes of authorship or in the order of the authors listed will not be accepted by body International Journal of Maps in Mathematics.