Examples and structure of CMC surfaces in some Riemannian and Lorentzian homogeneous spaces

Marcos P. de A. Cavalcante, Jorge H. S. de Lira

It is proved that the holomorphic quadratic differential associated to CMC surfaces in Riemannian products $\mathbb{S}^2\times\Rr$ and $\mathbb{H}^2\times \Rr$ discovered by U. Abr…