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

Abstract

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