[0708.2144] Some Applications of Ricci Flow in Physics

Authors: E. Woolgar

Date: 16 Aug 2007

Abstract: I discuss certain applications of the Ricci flow in physics. I first review how it arises in the renormalization group (RG) flow of a nonlinear sigma model. I then review the concept of a Ricci soliton and recall how a soliton was used to discuss the RG flow of mass in 2-dimensions. I then present recent results obtained with Oliynyk on the flow of mass in higher dimensions. The final section discusses one way in which Ricci flow may arise in general relativity, particularly for static metrics.

abs pdf

Jan 02, 2008

0708.2144 (/preprints)
2008-01-02, 19:28 [edit]


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