The Heisenberg group and the Riemannian contact manifolds (Q1599924)
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scientific article; zbMATH DE number 1751541
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Heisenberg group and the Riemannian contact manifolds |
scientific article; zbMATH DE number 1751541 |
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The Heisenberg group and the Riemannian contact manifolds (English)
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7 August 2002
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Let \({\mathbf h}_n\) be the Heisenberg Lie algebra. The author studies Riemannian contact manifolds as \({\mathbf h}_n\)-flat manifolds. This approach provides a special connection on such manifolds, that is briefly studied. The main result is a classification of complete Sasakian manifolds with constant holomorphic sectional curvature.
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Heisenberg Lie algebra
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Sasakian manifolds
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constant holomorphic sectional curvature
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