Curvature and Anosov Geodesic Flows

讲座题目：Curvature and Anosov Geodesic Flows
讲座时间 Datetime:2026年11月11日， 星期三， 08：00 - 11：00
地点 Venue: 海琴二号A412-1
主持人 Host：Sergio Romana  副教授
报告人 Speaker:  Jonatas Marinho Santos de Araujo
单位 Affiliation: National Institute of Pure and Applied Mathematics - IMPA
报告摘要 Abstract: 
We explore the relationship between curvature and Anosov Geodesic Flows. More specifically, we present a paper by S. Romaña and Ítalo Melo and, later generalized by S. Romaña and A. Cantoral, asserting that a necessary and sufficient condition for a geodesic flow to be Anosov is that negative curvature being uniformly observed in mean along geodesics. A consequence of their work is new examples of Anosov Geodesic flows on non-compact manifolds having zero and positive curvature.
报告人简介：
Jonatas Marinho Santos de Araujo is a PhD student at the National Institute of Pure and Applied Mathematics (IMPA), Brazil, working in the field of dynamical systems. He is currently a visiting scholar at the School of Mathematics (Zhuhai), Sun Yat-sen University, where she is completing a six-month academic research collaboration with the Dynamical Systems Group.