Conformal geodesics on gravitational instantons

DOI10.1017/S0305004121000463zbMath1497.53072arXiv1906.08375OpenAlexW3180864193MaRDI QIDQ5081316

Paul Tod, Maciej Dunajski

Publication date: 14 June 2022

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.08375

zbMATH Keywords

Hamilton-Jacobi equationscharged particleEguchi-Hanson spaceconformal Killing-Yano tensorFubini-Study metricconformal circle flowconformal geodesic flowself-dual magnetic field

Mathematics Subject Classification ID

Motion of charged particles (78A35) Conformal structures on manifolds (53C18)

Related Items (2)

First BGG operators on homogeneous conformal geometries ⋮ Scattering on self-dual Taub-NUT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Twistor geometry of a pair of second order ODEs
• Self-dual conformal gravity
• Some examples of the behaviour of conformal geodesics
• On the Landau levels on the hyperbolic plane
• Helical geodesic immersions into complex space forms
• \(\mathbb{C} P^2\) as a gravitational instanton
• Self-dual solutions to Euclidean gravity
• Integrability versus separability for the multi-centre metrics
• The hidden symmetries of multi-centre metrics
• Thomas's structure bundle for conformal, projective and related structures
• Circles in a complex projective space
• Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
• Variational principles for conformal geodesics
• On circles and spheres in Riemannian geometry
• Black holes, hidden symmetries, and complete integrability
• Four–dimensional metrics conformal to Kähler
• Conformal Circles and Parametrizations of Curves in Conformal Manifolds
• Closed conformal Killing–Yano tensor and geodesic integrability

This page was built for publication: Conformal geodesics on gravitational instantons