Anti-self-dual conformal structures with null Killing vectors from projective structures

DOI10.1007/s00220-007-0208-4zbMath1147.53022arXivmath/0601419OpenAlexW3102864645WikidataQ124883291 ScholiaQ124883291MaRDI QIDQ2472468

Maciej Dunajski, Simon West

Publication date: 22 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0601419

zbMATH Keywords

twistor spacetwistor theoryASD conditionASD pp-wavesconformal four-dimensional structures of signature \((+ + - -)\)conformally Ricci-flat metricsDunajski-West constructionneutral ASD conformal structuresneutral Fefferman conformal metricsneutral signature conformal structure, neutral signature metricsnon-conformally vacuum type IIInon-twisting null conformal Killing vectorsnull Killing vectors, projective structurespseudo-hyper-Hermitian conformal structurespseudo-hyper-Kähler metricsquotient twistor space

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Twistor methods in differential geometry (53C28) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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