Variational principles for conformal geodesics

DOI10.1007/s11005-021-01469-zzbMath1476.58015arXiv2104.13105OpenAlexW3202671714MaRDI QIDQ2242411

Maciej Dunajski, Wojciech Kryński

Publication date: 9 November 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.13105

zbMATH Keywords

HamiltoniansLagrangiansconformal geodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Conformal structures on manifolds (53C18)

Related Items (2)

Conformal geodesics on gravitational instantons ⋮ The Schwarzian derivative and Euler-Lagrange equations

Cites Work

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• The odd-order Pais-Uhlenbeck oscillator
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• On distinguished curves in parabolic geometries
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• Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
• An example of the geometry of a 5th-order ODE: the metric on the space of conics in \(\mathbb{CP}^2\)
• An extension theorem for conformal gauge singularities
• Conformal Circles and Parametrizations of Curves in Conformal Manifolds
• Cosmic jerk, snap and beyond
• Differential geometry of tangent bundles of order 2
• Generalized Hamiltonian Dynamics

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