On some properties of non-symmetric connections

Abstract

On an $N$-dimensional manifold with non-symmetric connection
$L^i_{jk}$ four kinds of covariant derivative (\ref{eq:jjedan}) are
defined, and four curvature tensors are obtained. In the present
paper specially the $3^{{rd}}$ and the $4^{{th}}$ kind of covariant
derivative are studied, particularly their application on
$\delta$-symbols.