Finsler几何中的一个新量

2024.01.17

投稿:龚惠英部门:理学院浏览次数:

活动信息

报告题目 (Title): A new quantity in Finsler geometry

中文标题:Finsler几何中的一个新量

报告人 (Speaker):莫小欢(北京大学)

报告时间 (Time):2024年1月17日(周三) 16:00-17:00

报告地点 (Place):校本部GJ303

邀请人(Inviter):席东盟、李晋、张德凯,吴加勇

主办部门:理学院数学系

报告摘要:In this lecture, we discuss a new Finslerian quantity defined by the -curvature and the angular metric tensor. We show that the -curvature not only gives a measure of the failure of a Finsler metric to be of scalar flag curvature and but also has vanishing trace. We find that the -curvature is closed related the Riemann curvature, the Matsumoto torsion and the -curvature. We answer Z. Shen's an open problem in terms of the -curvature. Finally, we give a global rigidity result for Finsler metrics of negative Ricci curvature on a compact manifold via the -curvature, generalizing a theorem previously only known in the case of negatively curved Finsler metrics with scalar flag curvature.

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