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Ricci flows on surfaces related to the Einstein weyl and Abelian vortex equations
Citation
Fox, Daniel Jeremy Forrest (2014). Ricci flows on surfaces related to the Einstein weyl and Abelian vortex equations. "Glasgow Mathematical Journal", v. 56 (n. 3); pp. 569-599. ISSN 0017-0895. https://doi.org/10.1017/S0017089514000044.
Description
| Title: | Ricci flows on surfaces related to the Einstein weyl and Abelian vortex equations |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Glasgow Mathematical Journal |
| Date: | September 2014 |
| ISSN: | 0017-0895 |
| Volume: | 56 |
| Subjects: | |
| Faculty: | E.T.S.I. Diseño Industrial (UPM) |
| Department: | Matemática Aplicada a la Ingeniería Industrial |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
There are described equations for a pair comprising a Riemannian metric and a Killing field on a surface that contain as special cases the Einstein Weyl equations (in the sense of D. Calderbank) and a real version of a special case of the Abelian vortex equations, and it is shown that the property that a metric solve these equations is preserved by the Ricci flow. The equations are solved explicitly, and among the metrics obtained are all steady gradient Ricci solitons (e.g. the cigar soliton) and the sausage metric; there are found other examples of eternal, ancient, and immortal Ricci flows, as well as some Ricci flows with conical singularities.
More information
| Item ID: | 39470 |
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| DC Identifier: | https://oa.upm.es/39470/ |
| OAI Identifier: | oai:oa.upm.es:39470 |
| DOI: | 10.1017/S0017089514000044 |
| Official URL: | http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9331958&fulltextType=RA&fileId=S0017089514000044 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 26 Feb 2016 12:40 |
| Last Modified: | 29 Feb 2016 09:46 |
