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math.DG2005
On three-dimensional Weyl structures with reduced holonomy
Michal Godlinski, Pawel Nurowski
Cartan's list of 3-dimensional Weyl structures with reduced holonomy is revisited. We show that the only Einstein-Weyl structures on this list correspond to the structures generate…
math.DG2005
Third order ODEs and four-dimensional split signature Einstein metrics
Michal Godlinski, Pawel Nurowski
We construct a family of split signature Einstein metrics in four dimensions, corresponding to particular classes of third order ODEs considered modulo fiber preserving transformat…