f-biharmonic and bi-f-harmonic Riemannian submersions

Akyol M. A., Yadav S. K., Shahid M. H.

International Journal of Geometric Methods in Modern Physics, vol.19, no.6, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 6
  • Publication Date: 2022
  • Doi Number: 10.1142/s0219887822500918
  • Journal Name: International Journal of Geometric Methods in Modern Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: bi- f -harmonic map, f -biharmonic map, Riemannian submersion, warped product
  • Uşak University Affiliated: No

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.