Deformable hypersurfaces of ${\mathbb{H}}^k\times {\mathbb{S}}^{n-k+1}$

Abstract

We investigate the deformable hypersurfaces of the conformally flat Riemannian products ${\mathbb{H}}^k\times {\mathbb{S}}^{n-k+1}$, $2\le k\le n-1$, of hyperbolic space and a sphere with constant sectional curvatures $-1$ and $1$, respectively.