报告地址:行健楼526
邀请人:杨明升教授、陈慧斌博士
报告摘要:
In this talk, we present our recent results on normal homogeneous Finsler spaces. We first define the notion of a normal homogeneous Finsler space, using the method of isometric submersion of Finsler metrics. Then 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.