Speaker: 赵唯(华东理工大学)
Time: 9:00-10:00, Oct 26
Venue: 数学中心研讨室(至善楼602)
Online: 腾讯会议: 119-924-854
Title: Finsler manifolds from the point of view of metric spaces
Abstract:
Although Finsler geometry is Riemannian geometry without the quadratic restriction, subtle differences occur between these two geometries. Natural non-smoothness of geometric quantities and asymmetry of metrics are main barriers to study Finsler geometry. In this talk, I will introduce a way from the point of view of asymmetric metric spaces, which seems efficient to investigate the topological aspect as well as the analytic aspect of a generic Finsler manifold.
Cirriculum Vitae:
赵唯,华东理工大学数学学院副教授,主要研究Riemann-Finsler几何和度量几何,相关工作发表在《Journal de Mathématiques Pures et Appliquées》《Transactions of the American Mathematical Society》《Annali della Scuola Normale Superiore di Pisa, Classe di Scienze》《Mathematische Zeitshrift》等国际期刊上。