Program
The Ricci Flow
Student No.:50
Time:Mon/Thu 10:10-12:00, 2015-11-26~2015-12-21
Instructor:Richard Hamilton  [Columbia University]
Place:Lecture hall, Floor 3, Jin Chun Yuan West Building
Starting Date:2015-11-26
Ending Date:2015-12-21

 

 

Abstract:

 

We will give an introduction to the Ricci Flow for the evolution of a Riemannan metric by its Ricci curvature. We will cover the basic estimates :

 

 

1) The heat inequality for the distance function

 

2) The local derivative estimates

 

3) Curvature Pinching inequalities

 

4) The Harnack estimate for the curvature

 

5) The non-collapsing estimate of Perelman

 

6) Canonical Neighborhoods

 

 

More as time permits.

 

You can download the following course related materials:

 

The Heat Inequality for the Distance Function ver 4

 

RFB 3 Local Derivative Estimates - pdf

 

Perelman's Noncollapsing Estimate

 

RFB 5 The Li - Yau Estimate for Curvature