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- Title
Some applications of Ricci flow in physics.
- Authors
Woolgar, E.
- 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 two dimensions. I then present recent results obtained with Oliynyk on the flow of mass in higher dimensions. The final section discusses how Ricci flow may arise in general relativity, particularly for static metrics.PACS Nos.: 02.40Ky, 02.30Ik, 04.20.–q
- Subjects
RICCI flow; SIGMA particles; SOLITONS; PHYSICS; EVOLUTION equations; GLOBAL differential geometry
- Publication
Canadian Journal of Physics, 2008, Vol 86, Issue 4, p645
- ISSN
0008-4204
- Publication type
Article
- DOI
10.1139/P07-146