On contact non-metric \(\varphi\)-connection in Sasakian space (Q2748171)
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scientific article; zbMATH DE number 1658944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On contact non-metric \(\varphi\)-connection in Sasakian space |
scientific article; zbMATH DE number 1658944 |
Statements
12 November 2003
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contact Riemannian manifold
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\(\varphi\)-connection
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Sasakian space
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On contact non-metric \(\varphi\)-connection in Sasakian space (English)
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On a contact Riemannian manifold of dimension \(n= 2m+ 1\), \(m\geq 1\), an affine connection called \(\varphi\)-connection is introduced and the properties of the connection on \(K\)-contact and Sasakian manifolds are studied. Some conditions for a compact Sasakian manifold of odd dimension \(n\geq 3\) to be conformal to a sphere and some special cases are considered. See also \textit{S. S. Pujar} and \textit{B. S. Waghe} [Bull. Calcutta Math. Soc. 90, 197-204 (1998; Zbl 0966.53027)].
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