$H$-tensional hypersurfaces in $4$-dimensional space forms
Differential Geometry
2026-03-18 v1
Abstract
In this paper, we investigate the classification of -tensional hypersurfaces in a -dimensional space form of constant sectional curvature . Our results show that minimal hypersurfaces are the only -tensional hypersurfaces in -dimensional space forms, thereby providing an affirmative partial answer to Conjecture 3 proposed in \cite{kacimi}.
Keywords
Cite
@article{arxiv.2603.16319,
title = {$H$-tensional hypersurfaces in $4$-dimensional space forms},
author = {Bouazza Kacimi and Ahmed Mohammed Cherif and Mustafa Özkan},
journal= {arXiv preprint arXiv:2603.16319},
year = {2026}
}