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On the twistor space of a 5-manifold with an irreducible SO(3)-structure
, 2013 Johann Davidov
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Hermitian Structures on Twistor Spaces
Annals of Global Analysis and Geometry, 1998Let \((M,g)\) be an oriented self-dual compact Einstein 4-manifold \((M,g)\) and \(Z\) its twistor space with the standard Riemannian metric \(h_t\) which depends on the parameter \(t>0\). It is well-known that \(Z\) admits a canonical complex structure \(J_Z\) which is orthogonal with respect to any standard metric \(h_t\), \(t>0\).
Apostolov, V. +2 more
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Journal of Geometry and Physics, 1986
Let (M,\(\omega)\) be an almost symplectic manifold and \({\mathcal T}(M,\omega)\) its symplectic twistor space, i.e. the bundle of the compatible complex structures of its tangent spaces, as considered by \textit{M. Dubois-Violette} [Mathématique et physique, Sémin. Éc. Norm. Supér., Paris 1979-1982, Prog. Math.
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Let (M,\(\omega)\) be an almost symplectic manifold and \({\mathcal T}(M,\omega)\) its symplectic twistor space, i.e. the bundle of the compatible complex structures of its tangent spaces, as considered by \textit{M. Dubois-Violette} [Mathématique et physique, Sémin. Éc. Norm. Supér., Paris 1979-1982, Prog. Math.
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G-structures of twistor type and their twistor spaces
Journal of Geometry and Physics, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alekseevsky, D. V., Graev, M. M.
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Annals of Global Analysis and Geometry, 1993
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TWISTOR SPACES AND FANO THREEFOLDS
The Quarterly Journal of Mathematics, 1994Usually, twistor spaces are certain complex 3--manifolds fibred over a Riemannian 4-manifold. It was shown by \textit{N. J. Hitchin} [Proc. Lond. Math. Soc., III. Ser. 43, 133-150 (1981; Zbl 0474.14024)] and by \textit{Th. Friedrich} and \textit{H. Kurke} [Math. Nachr.
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Birational Correspondences Between Twistor Spaces
Bulletin of the London Mathematical Society, 1994In a paper of \textit{F. Burstall} [Minimal surfaces in quaternionic symmetric spaces, In: Geometry of low-dimensional manifolds, Proc. Symp. Durham/UK 1989, Lond. Math. Soc. Lect. Note Ser. 150, 231-235 (1990; Zbl 0726.53036)] the following was shown: between the twistor spaces over any two compact quaternionic Kähler symmetric spaces there exists a ...
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Curved twistor spaces and H-space
Surveys in High Energy Physics, 1980Abstract The curved twistor space construction of Penrose 1,2 for anti-self-dual solutions to the Einstein vacuum equations is described. Curved twistor spaces are defined and it is shown with the aid of an example how to obtain them by deforming the complex structure of regions of flat twistor space.
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