03-26【莫小欢】管楼1418 偏微分方程系列报告

发布者:徐明巧发布时间:2025-03-25浏览次数:112

报告时间:3月26日14:30


报告地点:东区管理科研楼1418


报告人:莫小欢教授,北京大学


题目:On the principal curvatures of a class of Finsler metrics


摘要:In this lecture, we discuss an important Finslerian quantity, namely, principal curvatures. By establishing an explicit expression of principal curvatures of a Finsler metric with orthogonal invariance, we show that such Finsler metrics have at most two distinct principal curvatures in all directions. Furthermore one of these principal curvatures is simple when such Finsler metrics have two distinct principal curvatures. As application, we completely determine all principal curvatures of a two-parameter family of Finsler metrics.  We show that for these metrics, the simple principal curvature is simpler than another principal curvature.