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Faculty of Engineering and Information Sciences - Papers: Part A

2008

Local

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Shi's Local Estimates, Glen Wheeler Jan 2008

Shi's Local Estimates, Glen Wheeler

Faculty of Engineering and Information Sciences - Papers: Part A

The talk is concerned with some of the analytic results and techniques that are fundamental to the study of the qualitative behavior of solutions of the Ricci flow, later used in singularity analysis. In particular we focus on derivatives estimates, useful for proving long time existence of solutions and obtaining local control of solutions.


Monotonicity Of Reduced Volume; Local Non-Collapsing, V.-M Wheeler Jan 2008

Monotonicity Of Reduced Volume; Local Non-Collapsing, V.-M Wheeler

Faculty of Engineering and Information Sciences - Papers: Part A

The talk is divided in two parts. In the first one we give the definition of the reduced volume and by means of reduced length we prove it to be non-increasing in backwards time.