Symmetries of the self-dual Einstein equations. I. The infinite-dimensional symmetry group and its low-dimensional subgroups
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Publication:3827208
DOI10.1063/1.528379zbMath0673.53038OpenAlexW2016131976MaRDI QIDQ3827208
Charles P. Boyer, Pavel Winternitz
Publication date: 1989
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528379
Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of local differential geometry to the sciences (53B50)
Related Items (11)
Killing vector fields in self-dual, Euclidean Einstein spaces with Λ≠0 ⋮ Classification of local generalized symmetries for the vacuum Einstein equations ⋮ Lax representations via twisted extensions of infinite-dimensional Lie algebras: some new results ⋮ Chiral higher spin theories and self-duality ⋮ The symmetry structure of the anti-self-dual Einstein hierarchy ⋮ Einstein-Weyl structures from hyper-Kähler metrics with conformal Killing vectors ⋮ Symmetries of hyper-Kähler (or Poisson gauge field) hierarchy ⋮ The Monge-Ampère trajectory correction for semi-Lagrangian schemes ⋮ Covariant symplectic structure of the complex Monge-Ampère equation ⋮ Symmetries of the Einstein equations ⋮ SDiff(2) and uniqueness of the Plebański equation
Cites Work
- Nonlinear gravitons and curved twistor theory
- The infinite groups of Lie and Cartan. I: The transitive groups
- Symmetry reduction for nonlinear relativistically invariant equations
- Killing vectors in self-dual, Euclidean Einstein spaces
- Invariants of real low dimension Lie algebras
- Continuous subgroups of the fundamental groups of physics. III. The de Sitter groups
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