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Geometric Analysis and Partial Differential Equations Seminar

April 24, 2014 @ 10:30 am - 11:30 pm

Geometric Analysis and Partial Differential Equations Seminar Series at UOW
Speaker

Prof. Miles Simon (Otto-von-Guericke Universitaet)

Title

Local estimates for Ricci-flow in two dimensions

Abstract

In all dimensions G. Perelman proved the following. If an open ball contained in a manifold is ‘almost Euclidean’, then one can prove estimates on how compactly contained sub-regions of this ball evolve under Ricci flow. We generalise this result in two dimensions to regions which are not necessarily almost Euclidean. The estimates we obtain depend on the infimum of the curvature within the ball at time zero and the volume of the ball at time zero.

Details

Date:
April 24, 2014
Time:
10:30 am - 11:30 pm
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Venue

Building 39C Room 174
University of Wollongong
Wollongong, 2500
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