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Geometric properties and Poincare inequalities

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Nageswari Shanmugalingam

Professor A&S Mathematical Sciences
McMicken College of Arts and Sciences
shanmun@ucmail.uc.edu

In order to study large scale behavior controlled by the infinitessimal behavior of a function on a metric measure space (also known as first order calculus on metric spaces), one needs to know that the space supports a Poincare type inequality. The goal of this project is to understand the geometry underlying such Poincare inequalities.

Project commenced on July 1, 2009

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