16 citations · 60 across the 6 of their papers we have counts for
6 papers · 1 filter
GL(2, R) structures, G_2 geometry and twistor theory
Maciej Dunajski, Michal Godlinski
A GL(2, R) structure on an (n+1)-dimensional manifold is a smooth pointwise identification of tangent vectors with polynomials in two variables homogeneous of degree n. This, for e…
Geometry of third-order ODEs
Michal Godlinski, Pawel Nurowski
We address the problem of local geometry of third order ODEs modulo contact, point and fibre-preserving transformations of variables. Several new and already known geometries are d…
Geometry of Third-Order Ordinary Differential Equations and Its Applications in General Relativity
Michal Godlinski
A PhD thesis written under supervision of Pawel Nurowski and defended at the Faculty of Physics of the University of Warsaw. We adress the problems of local equivalence and geometr…
GL(2,R) geometry of ODE's
Michal Godlinski, Pawel Nurowski
We study five dimensional geometries associated with the 5-dimensional irreducible representation of GL(2,R). These are special Weyl geometries in signature (3,2) having the struct…
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…
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…