34 citations · 70 across the 9 of their papers we have counts for
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math.DG2013★ 6 cited
Point invariants of third-order ODEs and hyper-CR Einstein-Weyl structures
Maciej Dunajski, Wojciech Krynski
We characterize Lorentzian three-dimensional hyper-CR Einstein-Weyl structures in terms of invariants of the associated third order ordinary differential equations.
math.DG2013
Paraconformal structures, ordinary differential equations and totally geodesic manifolds
Wojciech Krynski
We construct point invariants of ordinary differential equations that generalise the Cartan invariants of equations of order two and three. The vanishing of the invariants is equiv…
math.DG2013★ 34 cited
Einstein--Weyl geometry, dispersionless Hirota equation and Veronese webs
Maciej Dunajski, Wojciech Krynski
We exploit the correspondence between the three-dimensional Lorentzian Einstein-Weyl geometries of the hyper-CR type, and the Veronese webs to show that the former structures are l…