Twistor theory for co-CR quaternionic manifolds and related structures (Q375855)
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scientific article; zbMATH DE number 6221757
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Twistor theory for co-CR quaternionic manifolds and related structures |
scientific article; zbMATH DE number 6221757 |
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Twistor theory for co-CR quaternionic manifolds and related structures (English)
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1 November 2013
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The authors answer the question posed in the introduction -- ``is there a natural class of manifolds, endowed with twistorial structures, which contains both the quaternionic manifolds and the three-dimensional Einstein-Weyl spaces?'' In the paper under review they introduce a non-metrical notion of co-CR quaternionic manifolds and investigate its twistorial properties. At the end of the paper the authors build a heaven space for quaterninonic-Kähler structure.
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CR quaternionic manifold
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\(f\)-quaternionic
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\(q\)-umblical
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linear hypercomlex structure
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dual pair
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twistor
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