A note on \(\xi\)-conformally flat contact manifolds (Q998180)
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scientific article; zbMATH DE number 5178955
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on \(\xi\)-conformally flat contact manifolds |
scientific article; zbMATH DE number 5178955 |
Statements
A note on \(\xi\)-conformally flat contact manifolds (English)
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13 August 2007
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We prove that a contact manifold with the structure vector field \(\xi\) belonging to the \(k\)-nullity distribution is \(\xi\)-conformally flat if and only if it is an \(\eta\)-Einstein manifold and we give some applications.
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contact manifolds
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\(\xi\)-conformally flat
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\(\eta\)-Einstein manifold
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