Descripción
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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. | |
Internacional
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Si |
JCR del ISI
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Si |
Título de la revista
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Glasgow Mathematical Journal |
ISSN
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0017-0895 |
Factor de impacto JCR
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0,309 |
Información de impacto
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JCR 2013. |
Volumen
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56 |
DOI
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10.1017/S0017089514000044 |
Número de revista
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3 |
Desde la página
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569 |
Hasta la página
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599 |
Mes
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SIN MES |
Ranking
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267 de 299 en mathematics. |