143 citations · 1.8k across the 79 of their papers we have counts for
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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.
Vortex Motion on Surfaces of Small Curvature
Daniele Dorigoni, Maciej Dunajski, Nicholas S. Manton
We consider a single Abelian Higgs vortex on a surface Σ whose Gaussian curvature K is small relative to the size of the vortex, and analyse vortex motion by using geodesics on the…
Self-Dual Conformal Gravity
Maciej Dunajski, Paul Tod
We find necessary and sufficient conditions for a Riemannian four-dimensional manifold with anti-self-dual Weyl tensor to be locally conformal to a Ricci--flat manifold. T…
Enhanced Euclidean supersymmetry, 11D supergravity and Toda equation
Maciej Dunajski, Jan Gutowski, Wafic Sabra
We show how to lift solutions of Euclidean Einstein-Maxwell equations with non-zero cosmological constant to solutions of eleven-dimensional supergravity theory with non-zero fluxe…
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…