The self-dual Einstein-Weyl metric and classical solution of Painlevé VI

DOI10.1023/A:1007556612743zbMath0917.53017MaRDI QIDQ1282063

Shoji Okumura

Publication date: 20 June 1999

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

zbMATH Keywords

Painlevé equationsisomonodromic deformationsBianchi type IX metricsselfdual metric

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of differential geometry to physics (53Z05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Twistor theory, double fibrations (complex-analytic aspects) (32L25)

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