Results 221 to 230 of about 4,018,148 (250)

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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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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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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Symplectic twistor spaces

Annals of Global Analysis and Geometry, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A product twistor space

2009
Summary: In previous work a hyperbolic twistor space over a paraquaternionic Kähler manifold was defined, the fibre being the hyperboloid model of the hyperbolic plane with constant curvature \(-1\). Two almost complex structures were defined on this twistor space and their properties studied.
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Rigidity Results for Riemannian Twistor Spaces Under Vanishing Curvature Conditions

Annals of Global Analysis and Geometry, 2023
Paolo Mastrolia
exaly  

Partial Integrability of Compatible Almost Complex Structures on Twistor Spaces

Mediterranean Journal of Mathematics, 2021
Oleg Mushkarov
exaly  

Double Solid Twistor Spaces: The Case of Arbitrary Signature

Inventiones Mathematicae, 2008
Nobuhiro Honda
exaly