Some Biharmonic Problems on the Tangent Bundle with a Berger-type Deformed Sasaki Metric

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Authors

  • Abdallah Medjadj
     Department of Mathematics, University of Mascara ,DZ
  • Hichem Elhendi
     Department of Mathematics, University of Bechar, PO Box 417, 08000, Bechar ,DZ
  • Lakehal Belarbi
     Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (U.M.A.B.), B.P.227,27000, Mostaganem ,DZ

DOI:

https://doi.org/10.18311/jims/2021/26439

Keywords:

Berger type deformed Sasaki metric, anti-paraKahler manifold, harmonic maps, biharmonic map
53C50, 53B30.

Abstract

Let (M2k,Φ,g) be an almost anti-paraKahler manifold and TM its tangent bundle equipped with the Berger type deformed Sasaki metric gBS and the paracomplex structure Φ˜. In this paper, we deal with the biharmonicity of canonical projection π : TM →M and a vector field X which is considered as a map X : M → TM.

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Published

2021-06-14

How to Cite

Medjadj, A., Elhendi, H., & Belarbi, L. (2021). Some Biharmonic Problems on the Tangent Bundle with a Berger-type Deformed Sasaki Metric. The Journal of the Indian Mathematical Society, 88(3-4), 217–236. https://doi.org/10.18311/jims/2021/26439

Issue

Volume 88, Issue 3-4, July-December 2021

Section

Articles

License

Copyright (c) 2021 Abdallah Medjadj, Hichem Elhendi, Lakehal Belarbi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2020-11-27
Accepted 2023-01-30
Published 2021-06-14

 

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