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


Affiliations
1 Department of Mathematics, University of Mascara, Algeria
2 Department of Mathematics, University of Bechar, PO Box 417, 08000, Bechar, Algeria
3 Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (U.M.A.B.), B.P.227,27000, Mostaganem, Algeria
     

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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.

Keywords

Berger type deformed Sasaki metric, anti-paraKahler manifold, harmonic maps, biharmonic map
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  • 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, Algeria
Hichem Elhendi
Department of Mathematics, University of Bechar, PO Box 417, 08000, Bechar, Algeria
Lakehal Belarbi
Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (U.M.A.B.), B.P.227,27000, Mostaganem, Algeria

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.

Keywords


Berger type deformed Sasaki metric, anti-paraKahler manifold, harmonic maps, biharmonic map

References





DOI: https://doi.org/10.18311/jims%2F2021%2F26439