“Curvature measures and the sub-Riemannian Gauss-Bonnet Theorem”
Mercoledì 8 Ottobre 2025, ore 12:30 - Aula 2BC45 - Eugenio Bellini (Università di Padova)
Abstract
It is not uncommon for curvature to concentrate at the singularities of geometric spaces. In this talk, we show how this phenomenon occurs for surfaces immersed in 3D contact sub-Riemannian manifolds. Adopting a measure-theoretic viewpoint on the Riemannian approximation scheme, we prove that the Gaussian curvature measure of such a surface is singular and supported on its isolated characteristic points. We identify natural geometric conditions under which this behavior occurs, namely when the surface admits characteristic points of finite order of degeneracy.
