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The Twistor Space of Distributions

The Twistor Space of Distributions
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G-structures of twistor type and their twistor spaces

Journal of Geometry and Physics, 1993
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Alekseevsky, D. V., Graev, M. M.
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Hermitian Structures on Twistor Spaces

Annals of Global Analysis and Geometry, 1998
Let \((M,g)\) 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., Grantcharov, G., Ivanov, S.   +2 more
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The twistor space of distributions

Mathematical Journal of Okayama University, 1997
Let \(Z\) be the bundle over a smooth manifold \(N\) whose fiber at a point \(x\in N\) is the Grassmannian of \(p\)-dimensional subspaces of \(T_xM\). The author obtains the integrability condition for the horizontal lift of a \(p\)-dimensional distribution on \(N\) with respect to the splitting of \(TZ\) into vertical and horizontal parts induced by a
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TWISTOR SPACES AND FANO THREEFOLDS

The Quarterly Journal of Mathematics, 1994
Usually, 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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On Twistors in Cantorian space

Chaos, Solitons & Fractals, 2001
Abstract This short note considers Penrose Twistor theory from the E (∞) Cantorian space-time view point. It is found that the expectation value of the Hausdorff dimension of E (∞) could be written in terms of Twistors, quantities as D= R ( c ) αβ αβ + R ( c )αβ αβ = 1 Z α Z α
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A complex minkowski space approach to twistors

General Relativity and Gravitation, 1975
This paper is basically a review of known results in twistor theory. Its value is intended to lie in the connections presented between twistor concepts and structures in complex Minkowski space. The relationship of twistor theory to complex null infinity and a new proof of the Kerr theorem are presented; these results are to some extent original.
Hansen, R. O., Newman, Ezra T.
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Symplectic twistor spaces

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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Symplectic twistor spaces

Annals of Global Analysis and Geometry, 1993
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