On Totally umbilical surfaces in the warped product $\mathbb{M}(\kappa {)}_f\times \mathbb{R}$

Ady Cambraia, Abigail Folha, Carlos Peñafiel

In this article we classify the totally umbilical surfaces which are immersed into a wide class of Riemannian manifolds having a structure of warped product, more precisely, we sho…