勷勤数学•专家报告

题      目：On curvatures of singular mixed-type surfaces in Lorentz-Minkowski 3-space

报  告  人： 陈亮 教授  (邀请人：赵浩)

                                       东北师范大学

时      间： 11月8日  14：30-15:30

地     点：数科院西楼111

报告人简介:

        陈亮，东北师范大学数学与统计学院教授,博士生导师，研究方向为映射的奇点理论及其应用。主持国家自然科学基金面上项目与青年项目各1项，在《Science China Mathematics》，《Topology Appl.》及《 Proc. Roy. Soc Edinb.  A》等期刊发表论文20余篇。

摘      要：

       We embark on an exploration of the differential geometric properties of singular mixed-type surfaces in Lorentz-Minkowski 3-space. Generally speaking, a mixed-type surface is defined as a connected regular surface that features non-empty sets of spacelike and timelike points. To facilitate our study, we introduce a valuable tool known as the modified frame on the surface. As a result, we reveal the behavior of the Gaussian curvature and the mean curvature of the singular mixed-type surface at not only lightlike points but also singular points.

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