Flat \((2,3,5)\)-distributions and Chazy's equations

DOI10.3842/SIGMA.2016.029zbMath1338.58004arXiv1506.02473OpenAlexW2235435085MaRDI QIDQ274857

Matthew Randall

Publication date: 25 April 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.02473

zbMATH Keywords

conformal geometryChazy's equationsgeneric rank two distribution in dimension five

Mathematics Subject Classification ID

Related Items (5)

Homogeneous real \((2,3,5)\) distributions with isotropy ⋮ Schwarz triangle functions and duality for certain parameters of the generalised Chazy equation ⋮ The Chazy XII equation and Schwarz triangle functions ⋮ Symmetric (2,3,5) distributions, an interesting ODE of 7th order and Plebański metric ⋮ DUALITY OF (2, 3, 5)-DISTRIBUTIONS AND LAGRANGIAN CONE STRUCTURES

Cites Work

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• Parameterizations of the Chazy Equation
• Reductions of self-dual Yang-Mills fields and classical systems
• Anti-self-dual four–manifolds with a parallel real spinor
• The dancing metric, ${G}_2$-symmetry and projective rolling
• The Generalized Chazy Equation from the Self‐Duality Equations
• Integrable systems and reductions of the self-dual Yang–Mills equations

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