Twistor spaces over 6-dimensional Riemannian manifolds (Q1099818)
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scientific article; zbMATH DE number 4042761
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Twistor spaces over 6-dimensional Riemannian manifolds |
scientific article; zbMATH DE number 4042761 |
Statements
Twistor spaces over 6-dimensional Riemannian manifolds (English)
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1987
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The author proves in dimension \(n=6\) for any even dimension the well- known integrability conditions for the twistor space of a Riemannian and a Kähler manifold [see \textit{L. Berard-Bergery} and \textit{T. O. Ochiai}, On some generalizations of the construction of twistor spaces. Global Riemannian geometry, Proc. Symp., Durham/Engl. 1982, 52-59 (1984; see the review above)] and \textit{N. R. O'Brian} and \textit{J. H. Rawnsley} [Ann. Global Anal. Geom. 3, 29-58 (1985; Zbl 0526.53057)].
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integrability conditions
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twistor space
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Kähler manifold
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