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- Title
f-biharmonic and bi-f-harmonic Riemannian submersions.
- Authors
Akyol, Mehmet Akif; Yadav, Sarvesh Kumar; Shahid, Mohammad Hasan
- Abstract
In this paper, we study f-biharmonic Riemannian submersion, bi-f-harmonic Riemannian submersion and thus generalizing some results of [M. A. Akyol and Y.-L. Ou, Biharmonic Riemannian submersions, Ann. Math. Pura Appl.198 (2019) 559–570; Z. Wang and Y.-L. Ou, Biharmonic Riemannian submersions from 3-manifolds, Math. Z.269(3) (2011) 917–925]. Next, we obtain the conditions when the Riemannian submersion on its first factor is f-biharmonic as well as bi-f-harmonic. In the last section, we study f-biharmonic cylinders of a Riemannian submersion.
- Subjects
MATHEMATICS; BIHARMONIC equations
- Publication
International Journal of Geometric Methods in Modern Physics, 2022, Vol 19, Issue 6, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887822500918