Quarter-symmetric metric connection on a Sasakian manifold (Q2731553)
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scientific article; zbMATH DE number 1626108
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quarter-symmetric metric connection on a Sasakian manifold |
scientific article; zbMATH DE number 1626108 |
Statements
26 November 2003
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quarter-symmetric connections
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curvature
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Sasakian manifolds
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Quarter-symmetric metric connection on a Sasakian manifold (English)
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A linear metric connection on a Riemannian manifold \(M\) is called quarter-symmetric if its torsion tensor \(T\) satisfies \(T(X,Y) = \pi(Y)F(X) - \pi(X)F(Y)\) with some one-form \(\pi\) and \((1,1)\)-tensor field \(F\) on \(M\). The authors investigate the existence problem of quarter-symmetric metric connections and study curvature properties of such connections on Sasakian manifolds.
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