Killing vectors in self-dual, Euclidean Einstein spaces

From MaRDI portal
Publication:3943632

DOI10.1063/1.525479zbMath0484.53051OpenAlexW2279983695MaRDI QIDQ3943632

Charles P. Boyer, J. D. III. Finley

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525479




Related Items (75)

On the integrability problem of a continuous Toda systemGravity duals of \( \mathcal{N} \) = 2 SCFTs and asymptotic emergence of the electrostatic descriptionUnlocking the axion-dilaton in 5D supergravityParticle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type systemNOTES ON PARA-HERMITE–EINSTEIN SPACETIMESOn the integrability of \((2+1)\)-dimensional quasilinear systemsThe generalized Moyal–Nahm and continuous Moyal–Toda equationsIsometries, gaugings and \( \mathcal{N} =2\) supergravity decouplingClassification of integrable \((2+1)\)-dimensional quasilinear hierarchiesKilling vector fields in self-dual, Euclidean Einstein spaces with Λ≠0Second-order PDEs in 3D with Einstein-Weyl conformal structureThe Cauchy problem for the Pavlov equationA nonlinear dynamical system related to the contact Lie algebrasHIDDEN SYMMMETRIES OF SOME BIANCHI A METRICSThe group theoretical analysis of gravitational instanton equationsOn the Einstein-Weyl and conformal self-duality equationsDispersionless Hirota equations and the genus 3 hyperelliptic divisorRemarks on the Waterbag Model of Dispersionless Toda HierarchyLift of Invariant to Non-Invariant Solutions of Complex Monge-Ampère EquationsDispersive deformations of Hamiltonian systems of hydrodynamic type in \(2+1\) dimensionsBubbles on manifolds with a \(U(1)\) isometryHolographic uniformizationOn the singular sector of the Hermitian random matrix model in the large \(N\) limitHolomorphic eigenfunctions of the vector field associated with the dispersionless Kadomtsev-Petviashvili equationEnergy and asymptotics of Ricci-flat 4-manifolds with a Killing fieldDiscrete and continuous Bogomolny equations through the deformed algebraTopological-antitopological fusion and the large-\(N\) \({\mathbb{C}}\text{P}^N\) modelInfinite series solutions of the symmetry equation for the \((1+2)\)-dimensional continuous Toda chain.Self-dual Einstein spaces via a permutability theorem for the Tzitzeica equation.Hamiltonian systems of hydrodynamic type in \(2+1\) dimensionsSolution of the Cauchy problem for a continuous limit of the Toda lattice and its superextensionComplex coordinates and Kähler potential for the Atiyah-Hitchin metricGroups of transformations of Riemannian manifoldsSDiff(2) Toda equation --- hierarchy, tau function, and symmetriesHair in the back of a throat: non-supersymmetric multi-center solutions from Kähler manifoldsCoverings of differential equations and Cartan's structure theory of Lie pseudo-groupsDuality of positive and negative integrable hierarchies via relativistically invariant fieldsSkyrme fields, multi-instantons and the $SU(\infty)$ -Toda equationDeformed cohomologies of symmetry pseudo-groups and coverings of differential equationsApplications of the Ashtekar gravity to four-dimensional hyperkähler geometry and Yang–Mills instantonsSymmetries of the self-dual Einstein equations. I. The infinite-dimensional symmetry group and its low-dimensional subgroupsOn an integrable multi-dimensionally consistent 2 n  + 2 n -dimensional heavenly-type equationSelf-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinatesToda fields of \(\text{SO}(3)\) hyper-Kähler metricsQuasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and FlutterSECOND-ORDER QUASILINEAR PDEs AND CONFORMAL STRUCTURES IN PROJECTIVE SPACEEinstein-Weyl structures from hyper-Kähler metrics with conformal Killing vectorsGravitational dressing of D-instantonsSuperconformal hypermultiplets in superspaceEinstein metrics, hypercomplex structures and the Toda field equationWall-crossing, Rogers dilogarithm, and the QK/HK correspondenceUniversal hypermultiplet metricsAn ansatz for almost-Kähler, Einstein 4-manifoldsIntegrable Lagrangians and modular formsNoncommutative electromagnetism as a large \(N\) gauge theoryYang-Mills instantons from gravitational instantonsEinstein metrics, projective structures and the \(\mathrm{SU}(\infty)\) Toda equationNotes on emergent gravitySTRINGS AND MEMBRANES FROM EINSTEIN GRAVITY, MATRIX MODELS AND W GAUGE THEORIES AS PATHS TO QUANTUM GRAVITYEnhanced Euclidean supersymmetry, 11D supergravity and \(\mathrm{SU}(\infty)\) Toda equationOn the dispersionless Davey-Stewartson system: Hamiltonian vector field Lax pair and relevant nonlinear Riemann-Hilbert problem for dDS-II systemUnnamed ItemOn some integrable generalizations of the continuous Toda systemEMERGENT GRAVITY FROM NONCOMMUTATIVE SPACE–TIMELie group analysis and similarity solutions for the equationSelfdual spaces with complex structures, Einstein-Weyl geometry and geodesicsGeometric Origin of a Linearization of the SU(?) Toda EquationThe N = 2 Heavenly EquationA Kähler compatible Moyal deformation of the first heavenly equationQuantization of emergent gravityRecursion operators for multidimensional integrable PDEsThe geometry of the Toda equationSumming up D-instantons in \(N=2\) supergravityStationary Riemannian space-times with self-dual curvatureClassification of integrable two-component Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions



Cites Work


This page was built for publication: Killing vectors in self-dual, Euclidean Einstein spaces