activity
19982026
most citedEinstein-Weyl geometry, the dKP equation and twistor theory

143 citations · 1.8k across the 79 of their papers we have counts for

collaborators

88 papers

math.DG2026

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…

hep-th2026

Heavenly equations in de Sitter space

Maciej Dunajski, Timothy Moy

We demonstrate that all anti-self-dual Einstein metrics with non--zero cosmological constant locally arise from solutions of a single second order PDE introduced by Lipstein an…

math.DG2026

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…

gr-qc2024

Twistor theory of the Chen--Teo gravitational instanton

Maciej Dunajski, Paul Tod

Toric Ricci--flat metrics in dimension four correspond to certain holomorphic vector bundles over a twistor space. We construct these bundles explicitly, by exhibiting and characte…

math.DG2024

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…

gr-qc2023★ 7 cited

Intrinsic rigidity of extremal horizons

Maciej Dunajski, James Lucietti

We prove that the intrinsic geometry of compact cross-sections of any vacuum extremal horizon must admit a Killing vector field. If the cross-sections are two-dimensional spheres,…