Geometry/Topology Seminar
Alex Moriani
Université Côte d'Azur
Polygonal Surfaces in Pseudo-Hyperbolic Spaces
Abstract: A polygonal surface in the pseudo-hyperbolic space $H^{2,n}$ is a complete maximal surface bounded by a lightlike polygon in the boundary of the pseudo-hyperbolic space $\partial H^{2,n}$ with finitely many vertices. We give several characterizations of them.
Polygonal surfaces are characterized by finiteness of their total curvature, by asymptotic flatness, and also by the fact of having parabolic type and polynomial quartic differential.
The goal of the talk is to explain some constructions coming from nonpositive curvature geometry to establish the link between being polygonal and having finite total curvature.
Monday March 11, 2024 at 3:00 PM in 427 SEO