Southwest Jiaotong University School of Mathematics

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A conclusive theorem on Finsler metrics of sectional flag curvature

来源:数学学院   作者:Topology and geometry group     日期:2020-12-19 19:01:43   点击数:  

Report time: 2020.12.17(Thursday),16:30-17:30 pm.

Report location: 614 351 606 of Tencent conference

Report title:A conclusive theorem on Finsler metrics of sectional flag curvature

Summary: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).

                                         Reporter: Huang Libing