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math.DG2026
Conformal Geodesics Cannot Spiral -- Erratum
Peter Cameron, Maciej Dunajski, Paul Tod
Wojciech KamiÅski 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 […
math.DG2025
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.
math.DG2024
Heavenly metrics, hyper-Lagrangians and Joyce structures
Maciej Dunajski, Timothy Moy
In \cite{B3}, Bridgeland defined a geometric structure, named a Joyce structure, conjectured to exist on the space of stability conditions of a triangulated category. Gi…