f-biharmonic and bi-f-harmonic Riemannian submersions-Reference-Cited by-同舟云学术

f-biharmonic and bi-f-harmonic Riemannian submersions

Published:2022-03-19 Issue:06 Volume:19 Page:
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Akyol Mehmet Akif¹,Yadav Sarvesh Kumar²,Shahid Mohammad Hasan²

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts, Bingol University, Bingol 12000, Turkey

2. Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887822500918

Reference18 articles.

1. The fundamental equations of a submersion.

2. Biharmonic maps and morphisms from conformal mappings

3. Harmonic Mappings of Riemannian Manifolds

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. f-Biharmonic Submanifolds in Space Forms and f-Biharmonic Riemannian Submersions from 3-Manifolds;Mathematics;2024-04-15