Isolated singularities of Elliptic Linear Weingarten graphs

Início: 06/11/2020 17:00

Término: 06/11/2020 18:00

Palestrante: Asun Jiménez (Universidade Federal Fluminense)

E-mail do Palestrante:

Resumo: In this talk we will study isolated singularities of graphs whose mean and Gaussian curvature satisfy the elliptic linear relation $2alpha H+beta K=1$, $alpha^2+beta>0$. This family of surfaces includes convex and non-convex singular surfaces and also cusp-type surfaces. We determine in which cases the singularity is in fact removable, and classify non-removable isolated singularities in terms of regular analytic strictly convex curves in $S^2$. This is a joint work with João P. dos Santos.