腾讯会议：微分几何报告

报告人：杨翎教授，复旦大学

报告题目：On complete space-like stationary surfaces in 4-dimensional Minkowski space with graphical Gauss image

报告摘要：Concerning the value distribution problem for generalized Gauss maps, we not only generalize Fujimoto's theorem to complete space-like stationary surfaces in 4-dimensional Minkowski space, but also estimate the upper bound of the number of exceptional values when the Gauss image lies in the graph of a rational function f of degree m, showing a sharp contrast to Bernstein type results for minimal surfaces in 4-dimensional Euclidean space. Moreover, we introduce the conception of conjugate similarity on the special linear group to classify all degenerate stationary surfaces (i.e. m=0 or 1), and establish several structure theorems for complete stationary graphs in 4-dimensional Minkowski space from the viewpoint of the degeneracy of Gauss maps.

报告时间：2022年4月7日，15：30～16：30

腾讯会议ID：814 705 572