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Comparison Theorems in Riemannian Geometry

来源: 09-09

时间:08:50 - 10:35, Mon,Wed, 9/19/2022 - 12/14/2022

地点:Venue: 1129B Zoom: 482 240 1589 PW: BIMSA

主讲人:Pengyu Le (Assistant Research Fellow)

Record: No

Level: Graduate

Language: Chinese


Prerequisite

Multivariable Calculus, Ordinary Differential Equation, Basics of Riemannian Geometry (optional)


Abstract

The course will cover various comparison theorems under different curvature conditions in Riemannian geometry.


Reference

1. Riemannian Geometry - Peter Petersen

2. Comparison Theorems in Riemannian Geometry - Jeff Cheeger, D. G. Ebin


Syllabus

1. Basics of Riemannian manifolds (quick review)

2. Jacobi fields

3. Sectional curvature comparison

4. Ricci curvature comparison

5. Selected topics


Lecturer Intro


Lecturer Email: pengyu.le@bimsa.cn

TA: Dr. Xuefeng Feng, fengxuefeng@bimsa.cn



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