Southwest Jiaotong University School of Mathematics


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来源:理财网   作者:拓扑与几何组     日期:2020-12-16 12:50:47   点击数:  


报告时间: 2020.12.17(星期四),下午16:30-17:30

报告地点: 腾讯会议614 351 606

报告题目:A conclusive theorem on Finsler metrics of sectional flag curvature

摘要:Flag curvature is the most important quantity in Finsler geometry, because it generalizes the notion of sectional curvature in Riemannian geometry.  In this talk I will give a brief introduction to Finsler geometry and discuss some interesting curvature phenomena.  In particular, I will prove that when flag curvature reduces to sectional curvature, then either the Finsler metric is Riemannian, or the flag curvature is isotropic (constant if the dimension is greater than two).