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arXiv · 2603.16319

$H$-tensional hypersurfaces in $4$-dimensional space forms

Bouazza Kacimi·Ahmed Mohammed Cherif·Mustafa Özkan
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Abstract

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}.

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Bouazza Kacimi, Ahmed Mohammed Cherif, Mustafa Özkan. 2026-03-17. $H$-tensional hypersurfaces in $4$-dimensional space forms. https://arxiv.org/abs/2603.16319

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