Conformally symmetric \(K\)-contact manifolds (Q2704148)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conformally symmetric \(K\)-contact manifolds |
scientific article |
Statements
19 March 2001
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contact manifold
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scalar curvature
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conformally flat
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constant curvature
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Sasaki manifold
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0.9446234
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0.9440057
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0.9338707
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0.9286483
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Conformally symmetric \(K\)-contact manifolds (English)
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Auhtor's abstract: In this paper, we establish a differential equation for the scalar curvature of conformally flat \(K\)-contact manifolds, and prove that a conformally symmetric \(K\)-contact manifold is a Riemann manifold with constant curvature 1. At the same time, the results on Sasaki manifolds which are given by \textit{T. Miyazaawa} and \textit{S. Yamaguchi} [TRU Mathematics 2, 46-52 (1966; Zbl 0156.20602)] are generalized to \(K\)-contact manifolds.
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