The symmetry structure of the anti-self-dual Einstein hierarchy
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Publication:4873516
DOI10.1063/1.530982zbMath0844.58035arXivhep-th/9410047OpenAlexW1982048608MaRDI QIDQ4873516
Publication date: 16 April 1996
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9410047
Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
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Cites Work
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- A new characterization of half-flat solutions to Einstein's equation
- A connection between the Einstein and Yang-Mills equations
- SDiff(2) Toda equation --- hierarchy, tau function, and symmetries
- Nonlinear gravitons and curved twistor theory
- A self-dual Yang-Mills hierarchy and its reductions to integrable systems in \(1+1\) and \(2+1\) dimensions
- The Virasoro and Kac-Moody symmetries for the principal chiral model
- The SU(∞) chiral model and self-dual vacuum spaces
- Symmetries of the self-dual Einstein equations. I. The infinite-dimensional symmetry group and its low-dimensional subgroups
- Self-dual metrics with self-dual Killing vectors
- Self-duality in four-dimensional Riemannian geometry
- Some integrable hierarchies in (2+1) dimensions and their twistor description
- On self-dual gauge fields