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Your search keyword '"Twistor space"' showing total 2 results
Start Over Descriptor "Twistor space" Topic twistor theory Journal international journal of mathematics
2 results on '"Twistor space"'

1. Twistor spaces on foliated manifolds.

Author

Mohseni, Rouzbeh and Wolak, Robert A.

Subjects
*HOLOMORPHIC functions, *TWISTOR theory, *FOLIATIONS (Mathematics), *HARMONIC maps
Abstract

The theory of twistors on foliated manifolds is developed. We construct the twistor space of the normal bundle of a foliation. It is demonstrated that the classical constructions of the twistor theory lead to foliated objects and permit to formulate and prove foliated versions of some well-known results on holomorphic mappings. Since any orbifold can be understood as the leaf space of a suitably defined Riemannian foliation we obtain orbifold versions of the classical results as a simple consequence of the results on foliated mappings. [ABSTRACT FROM AUTHOR]

Published
2021
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2. The Twistor Space of a 3-Sasakian Manifold

Author

Krzysztof Galicki and Charles P. Boyer

Subjects
Pure mathematics, Closed manifold, General Mathematics, Invariant manifold, Mathematical analysis, Astrophysics::Instrumentation and Methods for Astrophysics, Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing), Pseudo-Riemannian manifold, Twistor theory, Sasakian manifold, symbols.namesake, symbols, Computer Science::General Literature, Twistor space, Mathematics::Differential Geometry, Mathematics::Symplectic Geometry, Smooth structure, Orbifold, Mathematics
Abstract

Any compact 3-Sasakian manifold [Formula: see text] is a principal circle V-bundle over a compact complex orbifold [Formula: see text]. This orbifold has a contact Fano structure with a Kähler–Einstein metric of positive scalar curvature and it is the twistor space of a positive compact quaternionic Kähler orbifold [Formula: see text]. We show that many results known to hold when [Formula: see text] is a smooth manifold extend to this more general singular case. However, we construct infinite families of examples with [Formula: see text] which sharply differs from the smooth case, where there is only one such [Formula: see text].

Published
1997

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