Para-Kähler-Einstein \(4\)-manifolds and non-integrable twistor distributions

DOI10.1007/s10711-021-00665-4zbMath1500.53032arXiv2009.05975OpenAlexW3085954510MaRDI QIDQ2071815

Omid Makhmali, Gil Bor, Paweł~ Nurowski

Publication date: 31 January 2022

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05975

zbMATH Keywords

Petrov typeEinstein metricconformal structureCartan geometrypara-Kähler structurepara-complex structure\((2,3,5)\)-distributionCartan reduction

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Exterior differential systems (Cartan theory) (58A15) Issues of holonomy in differential geometry (53C29) (G)-structures (53C10) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (2)

Hyperheavenly spaces and their application in Walker and para-Kähler geometries. I ⋮ Hyperheavenly spaces and their application in Walker and para-Kähler geometries. II

Cites Work

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• Ambitoric geometry. I: Einstein metrics and extremal ambikähler structures
• On some examples of para-Hermite and para-Kähler Einstein spaces with \(\Lambda \neq 0\)
• The geometry of almost Einstein \((2,3,5)\) distributions
• The twistor spinors of generic 2- and 3-distributions
• On the 7th order ODE with submaximal symmetry
• Conformal structures associated to generic rank 2 distributions on 5-manifolds -- characterization and Killing-field decomposition
• Rotating, charged, and uniformly accelerating mass in general relativity
• Rigidity of integral curves of rank 2 distributions
• Symmetric (2,3,5) distributions, an interesting ODE of 7th order and Plebański metric
• A survey on paracomplex geometry
• Twistor space for rolling bodies
• Differential equations and conformal structures
• Editorial note to: Brandon Carter, Black hole equilibrium states. I: Analytic and geometric properties of the Kerr solutions
• Locally Sasakian manifolds
• Sur l'holonomie des variétés pseudo-riemanniennes de signature $(n,n)$
• Three-dimensional Cauchy–Riemann structures and second-order ordinary differential equations
• The dancing metric, ${G}_2$-symmetry and projective rolling
• A NEW LOOK AT THE PLEBAŃSKI–DEMIAŃSKI FAMILY OF SOLUTIONS
• Type D Vacuum Metrics

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