11-09【Chen Zhou】A new proof of Huber's theorem on differential geometry in the large

Time:2023-10-23Views:17

Speaker: Chen Zhou(Shanghai University)

Time: 10:00-11:00,Nov 9, 2023

Room: C1124, Material Science Research Building (Section C), USTC


  

In this talk I will give a new, and shorter, proof of Huber's theorem which affirms that for a connected open Riemann surface endowed with a complete conformal Riemannian metric, if the negative part of its Gaussian curvature has finite mass, then the Riemann surface is homeomorphic to the interior of a compact surface with boundary, and thus it has finite topological type. I will also show that such Riemann surface is parabolic.