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- The Geometry of Weakly Self-dual K auml;hler Surfaces
Since these Killing vector fields commute, this also provides a link with the work of H Pedersen and the second author [17], where an explicit local classification of self-dual Einstein metrics with two commuting Killing vector fields is obtained, without the hypothesis that they are Hermitian
- Anti-self-dual Conformal Structures with Null Killing Vectors from . . .
(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
- Anti-self-dual Conformal Structures with Null Killing Vectors from . . .
(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
- Null Killing vectors and geometry of null strings in Einstein spaces.
The spaces which admitt the null Killing vector are equipped in both self-dual and anti-self-dual congruences of null strings, so they are automaticaly hyper-heavenly spaces
- arXiv:hep-th 9407181v1 27 Jul 1994
Abstract All the causally regular geometries obtained from (2+1)-anti-de Sitter space by identifications by isometries of the form P → (exp 2πξ)P , where ξ is a self- dual Killing vector of so(2, 2), are explicitely con-structed Their remarkable symmetry properties (Killing vectors, Killing spinors) are listed These solutions of Einstein gravity with negative cosmological constant are
- Anti-self-dual Conformal Structures with Null Killing Vectors from . . .
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
- The Geometry of Weakly Self-dual K #x00E4;hler Surfaces - Springer
Since these Killing vector fields commute, this also provides a link with the work of H Pedersen and the second author [17], where an explicit local classification of self-dual Einstein metrics with two commuting Killing vector fields is obtained, without the hypothesis that they are Hermitian
- Anti-self-dual conformal structures with null Killing vectors from . . .
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
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