Contact pseudo-metric manifolds of constant curvature and CR geometry (Q471746)
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scientific article; zbMATH DE number 6370038
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Contact pseudo-metric manifolds of constant curvature and CR geometry |
scientific article; zbMATH DE number 6370038 |
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Contact pseudo-metric manifolds of constant curvature and CR geometry (English)
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17 November 2014
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This paper presents a study of integrable constant pseudo-metric manifolds of odd dimension \((n\geq 2)\). It is proven that if such a manifold has constant sectional curvature \(\kappa\), then the manifold is Sasakian and \(\kappa=\varepsilon=g(\xi,\xi)\), where \(\xi\) is the Reeb vector field. An equivalent statement is justified in CR Geometry. Some interesting observations on the pseudo-Hermitian torsion \(\tau\) of a non-degenerate almost CR manifold are given as well.
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contact pseudo-metric structures
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pseudo-Riemannian metrics
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sectional curvature
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non-degenerate CR structure
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pseudo-Hermitian torsion
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