【讲座说明】

举办日期：2021年07月22/24/27/29/31日 ；08月03日 09:00-10:00

举办地点：线上课程（腾讯会议）

会议ID： 327 7860 8823      点击此处进入会议

授课讲师：Prof. Zhongmin Shen (Indiana University-Purdue University Indianapolis)

主办单位：国家天元数学中部中心、武汉大学数学与统计学院

【ABSTRACT】

    Riemannian metrics are regular metrics with quadratic restriction. Riemannian geometry has been studied by many mathematicians around the world. However it is necessary to study manifolds with a non-quadratic metric. In some cases, volume form is an independent geometric structure. So we should study metrics and measures together . In this series of talks, the following topics will be covered.

1. Finsler spaces, Hypersurfaces in a Finsler space. Gradient of Functions, Co-Area Formula

2. Isoperimetric Inequalities

3. Geodesics, Geodesic Fields, Riemann curvature, Ricci curvature and S-curvature

4. Finsler metrics of constant flag curvature and constant Ricci curvature

5. Variation of Length, T-curvature, Jacobi Fields

6. Basic Comparison Theorems

7. Hessian and Laplacian, Normal and Mean Curvature

8. Estimates under Curvature Bounds

9. Bishop-Gromov Volume Comparison Theorem

10.Applications of Bishop-Gromov comparison theorem

11.Morse theory and Loop Space

12.Weighted Ricci Curvature

13.Estimates under Weighted Ricci Curvature Bounds

【报名流程及联系人】

1、点击此处提交报名申请

2、报名截止日期为2021年07月20日

联系人：杨老师    电话：16602740903    Email:  tmcc@whu.edu.cn