Aula 1B1, sezione di Matematica
Miguel Manzano (Granada)
Stable constant mean curvature surfaces of parabolic type.
In this talk we will discuss some properties of abstract Schrödinger operators over parabolic manifolds, and particularize them to the stability operator of a parabolic constant mean curvature surface immersed in a 3-manifold that admits a killing vector field. As an application, we will give restrictions on the range of H such that some homogeneous 3-manifolds admit complete parabolic stable surfaces with constant mean curvature H.
This is a joint work with Joaquìn Pérez and Magdalena Rodriguez.