##### Department of Mathematics,

University of California San Diego

****************************

### Math 295 - Mathematics Colloquium

## Peter Li

#### U.C. Irvine

## Weighted Poincare inequality, rigidity and structure of complete manifolds

##### Abstract:

In this talk, I will discuss some structural and rigidity properties of a class of manifolds satisfying some weighted Poincare inequality. These theorems can be viewed as a generalization of a theorem of Witten-Yau on $AdS/CFT$ correspondence. It also generalizes some known results in hyperbolic geometry.

Host: Lei Ni

### November 17, 2005

### 3:00 PM

### AP&M 7321

****************************