A note on quarter-symmetric metric connections (Q1098423)
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scientific article; zbMATH DE number 4038669
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on quarter-symmetric metric connections |
scientific article; zbMATH DE number 4038669 |
Statements
A note on quarter-symmetric metric connections (English)
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1987
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Let \((M,F\) \(h_ i,g_{ji})\) be a Kaehler manifold. The author studies curvature properties of connections of the type \(\Gamma \quad h_{ji}=\left\{ \begin{matrix} h\\ ji\end{matrix} \right\}+U\quad h_ jp_ i- p_ jV\quad h_ i-U_{ji}p\quad h\quad,\) where \(U_{ji}=0\), \(V\) \(h_ i=F_ i\) h or \(U_{ji}=g_{ji}\), \(V\) \(h_ i=F\) \(h_ i\) and \(p_ i\) is an arbitrary covector.
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Kaehler manifold
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curvature
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