04-07【杨翎】On complete space-like stationary surfaces in 4-dimensional Minkowski space with graphical Gauss image

发布时间:2022-04-06来源:几何与物理研究中心中文网页浏览次数:126


报告人:杨翎复旦大学

时间:2022年4月7日 15:30-16:30

地点:腾讯会议号:814-705-572,无需密码



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.


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