Study of bi-f-harmonic curves and helices along Riemannian map
Keywords:
Bi-f-harmonic curve, bi-harmonic curve, helix, umbilical Riemannian map, totally geodesic Riemannian mapAbstract
In this paper, we study bi-f-harmonic curves and helices along the Riemannian map. We find that, if a totally umbilical Riemannian map takes a horizontal bi-f-harmonic curve to bi-f-harmonic curve, then the map is totally geodesic.
Then, we discuss the mean curvature vector field for horizontal bi-harmonic curves through Riemannian maps. In addition, we obtain the condition for the curvature of helix along isotropic Riemannian map.
Downloads
Published
2025-03-23
How to Cite
Pal, B., Mahendra Kumar, & Santosh Kumar. (2025). Study of bi-f-harmonic curves and helices along Riemannian map. International Journal of Maps in Mathematics, 8(1), 55–73. Retrieved from https://simadp.com/journalmim/article/view/207
Issue
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.
