报告题目 (Title):正规齐性芬斯勒空间 (Normal Homogeneous Finsler Spaces)
报告人 (Speaker): 邓少强 教授(南开大学)
报告时间 (Time):2025年5月15日(周四) 10:00-11:00
报告地点 (Place):校本部GJ303
邀请人(Inviter):张红莲
报告摘要:We present our recent results on normal homogeneous Finsler spaces. After clarifying the notion of a normal homogeneous Finsler space, we establish a technique to reduce the classification of normal homogeneous Finsler spaces of positive flag curvature to an algebraic problem. We show that a coset space $G/H$ admits a positively curved normal homogeneous Finsler metric if and only if it admits a positively curved normal homogeneous Riemannian metric. We also give a complete description of the coset spaces admitting non-Riemannian positively curved normal homogeneous Finsler spaces. This talk is based on joint work with Ming Xu (Xu-Deng, Normal Homogeneous Finsler Spaces, Transformation Groups, 22 (2017), 1143-1183).