Lower bounds for the stability index of constant mean curvature surfaces

Date/heure
12 novembre 2018
14:00 - 15:00

Oratrice ou orateur
Marcos Petràºcio Cavalcante

Catégorie d'évènement
Séminaire de géométrie différentielle


Résumé

We prove that the stability index of a compact constant mean curvature (CMC) surface in the Euclidean space or in the unit sphere is bounded from below by a linear function of its genus. We also will discuss some results in the case of free-boundary CMC surfaces in a mean convex body of R^3. These results are part of joint works with Darlan de Oliveira.