On the generalization of biharmonic hypersurfaces and biharmonic curves

Moustafa Tadj; Ahmed Mohammed Cherif; Fethi Latti

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arXiv · 2603.23692

On the generalization of biharmonic hypersurfaces and biharmonic curves

Moustafa Tadj·Ahmed Mohammed Cherif·Fethi Latti

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Abstract

In this work, we extend the concepts of $p$-biharmonic maps and $p$-biharmonic hypersurfaces to provide a broader characterization of $(p,q)$-harmonic hypersurfaces and $(p,q)$-harmonic curves in Riemannian manifolds, including Einstein spaces. Moreover, we present new explicit examples of proper $(p,q)$-harmonic hypersurfaces and $(p,q)$-harmonic curves in space forms.

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Moustafa Tadj, Ahmed Mohammed Cherif, Fethi Latti. 2026-03-24. On the generalization of biharmonic hypersurfaces and biharmonic curves. https://arxiv.org/abs/2603.23692

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