143 citations · 1.8k across the 79 of their papers we have counts for
38 papers · 1 filter
Twistor theory of Loxodromes
Maciej Dunajski, Wojciech Kryński
The twistor correspondence provides a duality between curves in and ruled surfaces in in which the conformal properties of the former are reflected in the pro…
Conformal Geodesics Cannot Spiral -- Erratum
Peter Cameron, Maciej Dunajski, Paul Tod
Wojciech Kamiński has provided a non real-analytic counterexample to our claim in [1] that conformal geodesics cannot spiral. This erratum illustrates how the proof of Lemma 4.6 [1…
Heavenly metrics, hyper-Lagrangians and Joyce structures
Maciej Dunajski, Timothy Moy
In https://pubs.ams.org/ebooks/pspum/103.2, Bridgeland defined a geometric structure, named a Joyce structure, conjectured to exist on the space of stability conditions of a $C…
Conformal Geodesics Cannot Spiral
Peter Cameron, Maciej Dunajski, Paul Tod
We show that conformal geodesics on a Riemannian manifold cannot spiral: there does not exist a conformal geodesic which becomes trapped in every neighbourhood of a point.
Twistor Theory of Dancing Paths
Maciej Dunajski
Given a path geometry on a surface , we construct a causal structure on a four-manifold which is the configuration space of non-incident pairs (point, path) on $\mathc…
Variational principles for conformal geodesics
Maciej Dunajski, Wojciech Kryński
Conformal geodesics are solutions to a system of third order of equations, which makes a Lagrangian formulation problematic. We show how enlarging the class of allowed variations l…