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

发布时间:2023-10-18来源:几何与物理研究中心中文网页浏览次数:46

报告人:周晨(上海大学)

时间:2023年11月9日 10:00-11:00

地点:物质科研楼C1124



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.