On the generalization of biharmonic hypersurfaces and biharmonic curves
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917360817930240 |
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| author | Tadj, Moustafa Cherif, Ahmed Mohammed Latti, Fethi |
| author_facet | Tadj, Moustafa Cherif, Ahmed Mohammed Latti, Fethi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23692 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the generalization of biharmonic hypersurfaces and biharmonic curves Tadj, Moustafa Cherif, Ahmed Mohammed Latti, Fethi Differential Geometry 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. |
| title | On the generalization of biharmonic hypersurfaces and biharmonic curves |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2603.23692 |