Parallel and totally umbilical hypersurfaces of the four-dimensional Thurston geometry ${\text{Sol}}_0^4$

Marie D'haene, Jun-ichi Inoguchi, Joeri Van der Veken

We study hypersurfaces of the four-dimensional Thurston geometry ${\text{Sol}}_0^4$, which is a Riemannian homogeneous space and a solvable Lie group. In particular, we give a full c…