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Normal Homogeneous Finsler Spaces
报告人:邓少强教授, 南开大学 时间:2021年4月27日(周二)15:00 字号:

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.


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