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p-Biharmonic Maps Between Warped Product Manifolds

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Abstract

In this paper, we give the condition for the p-biharmonicity of the inclusion of a Riemannian manifold (Nh) into the warped product \(M\times _{f^2}N\), of the projection from \(M\times _{f^2}N \) to (Mg). We give also the conditions for the p-harmonicity and the p-biharmonicity of the graph map from (Mg) into \(M\times _{f^2}N\).

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Acknowledgements

The authors would like to thank the editor and the reviewers for their useful remarks and suggestions.

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Correspondence to Ahmed Mohammed Cherif.

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Merdji, B., Cherif, A.M. p-Biharmonic Maps Between Warped Product Manifolds. Mediterr. J. Math. 21, 1 (2024). https://doi.org/10.1007/s00009-023-02536-6

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  • DOI: https://doi.org/10.1007/s00009-023-02536-6

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