Some remarks on 3-dimensional contact Riemannian manifolds (Q2770386)
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scientific article; zbMATH DE number 1703219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some remarks on 3-dimensional contact Riemannian manifolds |
scientific article; zbMATH DE number 1703219 |
Statements
25 November 2002
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contact metric manifold
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conformally flat manifold
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0.97152466
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0.9538578
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0.9411506
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0.93851864
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Some remarks on 3-dimensional contact Riemannian manifolds (English)
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It is proved that a 3-dimensional conformally flat contact metric manifold with \(\nabla_{\xi}\tau=0\) is either flat or a Sasakian manifold (in this case it is of constant curvature 1). For a disscusion of the conformal flatness in the class of contact metric manifolds, see the book by \textit{D. E. Blair} [Riemannian geometry of contact and symplectic manifolds, Progress Math. 203, Birkhäuser, Boston (2002; Zbl 1011.53001)].NEWLINENEWLINEFor the entire collection see [Zbl 0969.00064].
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