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Department of Mathematics,
University of California San Diego

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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

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