$H$-tensional hypersurfaces in $4$-dimensional space forms
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911522138095616 |
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| author | Kacimi, Bouazza Cherif, Ahmed Mohammed Özkan, Mustafa |
| author_facet | Kacimi, Bouazza Cherif, Ahmed Mohammed Özkan, Mustafa |
| contents | In this paper, we investigate the classification of $H$-tensional hypersurfaces $M$ in a $4$-dimensional space form $N^4(c)$ of constant sectional curvature $c$. Our results show that minimal hypersurfaces are the only $H$-tensional hypersurfaces in $4$-dimensional space forms, thereby providing an affirmative partial answer to Conjecture 3 proposed in \cite{kacimi}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16319 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $H$-tensional hypersurfaces in $4$-dimensional space forms Kacimi, Bouazza Cherif, Ahmed Mohammed Özkan, Mustafa Differential Geometry In this paper, we investigate the classification of $H$-tensional hypersurfaces $M$ in a $4$-dimensional space form $N^4(c)$ of constant sectional curvature $c$. Our results show that minimal hypersurfaces are the only $H$-tensional hypersurfaces in $4$-dimensional space forms, thereby providing an affirmative partial answer to Conjecture 3 proposed in \cite{kacimi}. |
| title | $H$-tensional hypersurfaces in $4$-dimensional space forms |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2603.16319 |