Self-dual Bianchi metrics and the Painlevé transcendents

DOI10.1088/0264-9381/11/1/010zbMath0790.53032OpenAlexW1972249383MaRDI QIDQ4286270

Roman Maszczyk, N. M. J. Woodhouse, Lionel J. Mason

Publication date: 27 March 1994

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/11/1/010

zbMATH Keywords

self-dualityPainlevé equationsconformal structureWeyl curvatureself-dual Yang-Mills equation

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

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The CR geometry of weighted extremal Kähler and Sasaki metrics, Gravity, strings, modular and quasimodular forms, Self-dual Einstein metrics from the Painlevé VI equation, Twistor theory at fifty: from contour integrals to twistor strings, Universal hypermultiplet metrics, Exact renormalization flow and domain walls from holography, Integrability, Monodromy Evolving Deformations, and Self-Dual Bianchi IX Systems, Null Kähler geometry and isomonodromic deformations