Systolic inequality and conformally flat tori
发布人: 曹思圆   发布时间: 2021-12-11   浏览次数: 10



*主讲人:刘宇航 博士后(北京大学)

*主持人:刘博 教授


The systole of a Riemannian manifold refers to the length of the shortest non contractile loop. In 1949, Loewner showed that the square of the systole of a 2-torus is bounded from above by its area. In the past decades many mathematicians have studied systolic geometry for various manifolds, including Gromov's famous work on filling radius and systoles. In this talk I will review some major work in this field, and state a result concerning multiple closed geodesic in conformally flat tori.