Hypersurfaces of ${\mathbb{S}}^3\times \mathbb{R}$ and ${\mathbb{H}}^3\times \mathbb{R}$ with constant principal curvatures

Fernando Manfio, João Batista Marques dos Santos, João Paulo dos Santos +1

We classify the hypersurfaces of ${\mathbb{Q}}^3\times \mathbb{R}$ with three distinct constant principal curvatures, where $\epsilon \in \{1,-1\}$ and ${\mathbb{Q}}^3$ denotes the u…