2022/09/21 by Gao, Dong, Ma, Hui, Yao, Zeke
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2209.10467
In this paper, we study hypersurfaces in ℍ2×ℍ2. 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.