On Stability and Isoperimetry of Constant Mean Curvature Spheres of ${\mathbb{H}}^n\times \mathbb{R}$ and ${\mathbb{S}}^n\times \mathbb{R}.$

Ronaldo F. de Lima, Maria F. Elbert, Barbara Nelli

We approach the one-parameter family of rotational constant mean curvature (CMC) spheres of ${\mathbb{H}}^n\times \mathbb{R}$ and ${\mathbb{S}}^n\times \mathbb{R}$ focusing on their stabilit…