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arXiv · 2209.10467

On Hypersurfaces of $\mathbb{H}^2\times\mathbb{H}^2$

Dong Gao·Hui Ma·Zeke Yao
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Abstract

In this paper, we study hypersurfaces in $\mathbb{H}^2\times\mathbb{H}^2$. We first classify the hypersurfaces with constant principal curvatures and constant product angle function. Then, we classify homogeneous hypersurfaces and isoparametric hypersurfaces, respectively. Finally, we classify the hypersurfaces with at most two distinct constant principal curvatures, as well as those with three constant principal curvatures under some additional conditions.

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Dong Gao, Hui Ma, Zeke Yao. 2022-09-21. On Hypersurfaces of $\mathbb{H}^2\times\mathbb{H}^2$. https://arxiv.org/abs/2209.10467

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