Elliptic Linear Weingarten graphs with isolated singularities

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

differential geometry

Audience: researchers in the topic

Pangolin seminar

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Description: Differential geometry seminar

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