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- Title
Triharmonic curves along Riemannian submersions.
- Authors
KarakaŞ, Gizem Köprülü; Şahin, Bayram
- Abstract
The purpose of this paper is to study triharmonic curves along Riemannian submersions from Riemannian manifolds onto Riemannian manifolds. We obtain necessary and sufficient conditions for a triharmonic curve on the total manifold of Riemannian submersion from a space form to a Riemannian manifold to be triharmonic curve on the base manifold. The above research problem is also studied in the complex setting of the manifold on which the Riemannian submersion is defined. In this case, first the condition of a given curve to be a triharmonic curve in a complex space form is given, and then the character of the triharmonic curve during Riemann submersion is examined. In addition, we give several results involving curvature conditions for a triharmonic curves along Riemannian submersions.
- Subjects
RIEMANNIAN submersions; SUBMERSIONS (Mathematics); RIEMANNIAN manifolds; MANIFOLDS (Mathematics); DIFFERENTIAL geometry
- Publication
Tamkang Journal of Mathematics, 2024, Vol 55, Issue 1, p25
- ISSN
0049-2930
- Publication type
Article
- DOI
10.5556/j.tkjm.55.2024.5066