Compactness of free boundary CMC surfaces

Início: 06/08/2020 17:00

Término: 06/08/2020 18:00

Palestrante: Nicolau S. Aiex (Auckland)

E-mail do Palestrante:

Resumo: We will talk about the compactness of the space of CMC surfaces on ambient manifolds with positive Ricci curvature and convex boundary. We characterize compactness based on geometric information on the surface.​ This is analogous to a result of Fraser-Li on free boundary minimal surfaces, however, the lack of a Steklov eigenvalue lower bound makes the proof fairly different. The proof is an adaptation of White's proof of the compactness of stationary surfaces of parametric elliptic functionals. This is a joint work with Han Hong.