2 papers
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.