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