On hyperbolic manifolds structured by a principal connection and carrying two isotropic Reeb vector fields (Q2758277)
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scientific article; zbMATH DE number 1679655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On hyperbolic manifolds structured by a principal connection and carrying two isotropic Reeb vector fields |
scientific article; zbMATH DE number 1679655 |
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30 November 2003
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hyperbolic manifolds
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Reeb vector fields
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On hyperbolic manifolds structured by a principal connection and carrying two isotropic Reeb vector fields (English)
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The authors prove that the type of hyperbolic manifolds \(M\) described in the title of their paper, must be a local Riemannian product of a flat hyperbolic surface and a submanifold of constant mean curvature. Their second theorem considers the case when \(M\) admits the additional structure of a tensor field of type (1,1). The paper concludes with an example.
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