Parallel spinors on pseudo-Riemannian \(spin^{c}\) manifolds (Q2496750)
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| Language | Label | Description | Also known as |
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| English | Parallel spinors on pseudo-Riemannian \(spin^{c}\) manifolds |
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Parallel spinors on pseudo-Riemannian \(spin^{c}\) manifolds (English)
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20 July 2006
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The author generalizes the results of \textit{A. Moroianu} [Commun. Math. Phys. 187 417--427 (1997; Zbl 0888.53035)] in order to answer the following question: `What are the possible holonomy groups of simply-connected pseudo-Riemannian \(\text{spin}^c\)-bundles which admit parallel spinors?' Since Moroianu's work, only partial answers to this question had been given. Contents include: Introduction; Spinor representations and \(\text{spin}^c\)-bundles; Parallel spinors; and a Bibliography of fifteen items.
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parallel spinors
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holonomy groups
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pseudo-Riemannian manifolds
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\(\text{spin}^c\)-bundles
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