Twistor geometry of a pair of second order ODEs
DOI10.1007/s00220-013-1729-7zbMath1277.53044arXiv1203.4158OpenAlexW3101146730WikidataQ125851257 ScholiaQ125851257MaRDI QIDQ356702
Paul Tod, Maciej Dunajski, Stephen D. Casey
Publication date: 26 July 2013
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.4158
differential geometrypath geometryconformal structureFinsler structuresecond-order ODEstorsionfree ODE systemtwistor geometryWiłczynski invariants
Geometric methods in ordinary differential equations (34A26) Applications of differential geometry to physics (53Z05) Spinor and twistor methods applied to problems in quantum theory (81R25) Twistor methods in differential geometry (53C28) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
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- Reduction of \(\beta\)-integrable 2-Segre structures
- Limiting behavior of the maximum of the partial sum for asymptotically negatively associated random variables under residual Cesáro alpha-integrability assumption
- Contact projective structures and chains
- Nonlinear gravitons and curved twistor theory
- Zermelo navigation on Riemannian manifolds
- The gap phenomenon in the dimension study of finite type systems
- Anti-self-dual conformal structures with null Killing vectors from projective structures
- Paraconformal geometry of \(n\)th-order ODEs, and exotic holonomy in dimension four
- The ultrahyperbolic differential equation with four independent variables
- Geodesics in Randers spaces of constant curvature
- Subalgebras of real three- and four-dimensional Lie algebras
- The Equivalence Problem for Systems of Second-Order Ordinary Differential Equations
- Generalized Wilczynski Invariants for Non-Linear Ordinary Differential Equations
- PROLONGATIONS OF GEOMETRIC OVERDETERMINED SYSTEMS
- Hyper-Kähler hierarchies and their twistor theory
- Torsion-free path geometries and integrable second order ODE systems