New examples of constant mean curvature surfaces in ${\mathbb{S}}^2\times \mathbb{R}$ and ${\mathbb{H}}^2\times \mathbb{R}$

José M. Manzano, Francisco Torralbo

We construct non-zero constant mean curvature H surfaces in the product spaces ${\mathbb{S}}^2\times \mathbb{R}$ and ${\mathbb{H}}^2\times \mathbb{R}$ by using suitable conjugate Plat…