Title：Sprays with scalar curvature and related inverse problem
Speaker：李本伶 教授 （宁波大学）
Time：2019年9月27日 下午 16:00-17:00
Abstract：A spray on a manifold is a vector field on the tangent bundle, which is closely related to a system of second order differential equations. If a spray can be induced by a Finsler metric, the system of second order differential equations is just the geodesic equation of the Finsler metric. Naturally, Finsler geometry and spray geometry are closely related. In this talk, we will introduce some sprays with scalar curvature including projectively flat sprays. For some special cases, the inverse problem How to determine a spray is induced by some Finsler metric or not? will be discussed.