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.  
International

Si 
JCR

Si 
Title

Glasgow Mathematical Journal 
ISBN

00170895 
Impact factor JCR

0,309 
Impact info

JCR 2013. 
Volume

56 

10.1017/S0017089514000044 
Journal number

3 
From page

569 
To page

599 
Month

SIN MES 
Ranking

267 de 299 en mathematics. 