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