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• W3102864645 abstract "Using twistor methods, we explicitly construct all local forms of four–dimensional real analytic neutral signature anti–self–dual conformal structures (M, [g]) with a null conformal Killing vector. We show that M is foliated by anti-self-dual null surfaces, and the two-dimensional leaf space inherits a natural projective structure. The twistor space of this projective structure is the quotient of the twistor space of (M, [g]) by the group action induced by the conformal Killing vector. We obtain a local classification which branches according to whether or not the conformal Killing vector is hyper-surface orthogonal in (M, [g]). We give examples of conformal classes which contain Ricci–flat metrics on compact complex surfaces and discuss other conformal classes with no Ricci–flat metrics." @default.
• W3102864645 created "2020-11-23" @default.
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• W3102864645 creator A5060763542 @default.
• W3102864645 date "2007-03-02" @default.
• W3102864645 modified "2023-10-18" @default.
• W3102864645 title "Anti-self-dual Conformal Structures with Null Killing Vectors from Projective Structures" @default.
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• W3102864645 doi "https://doi.org/10.1007/s00220-007-0208-4" @default.
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