论文标题
在$ \ mathbb {h}^2 \ times \ mathbb {h}^2 $的高空上
On Hypersurfaces of $\mathbb{H}^2\times\mathbb{H}^2$
论文作者
论文摘要
在本文中，我们在$ \ mathbb {h}^2 \ times \ mathbb {h}^2 $中研究Hypersurfaces。我们首先用恒定的主曲线和恒定的乘积函数对高空曲面进行分类。然后，我们分别对均匀的超曲面和等型超曲面进行了分类。最后，我们将Hyperfaces分类为最多两个不同的恒定主曲线，以及在某些其他条件下具有三个恒定主曲线的曲线。
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.
