Abstract
In this paper, we first introduce semi-symmetric metric and semi-symmetric non-metric connections on a n-distribution D of a (n+p)-dimensional semi-Riemannian manifold (M,g). Then we obtain the Gauss equations and the sectional curvature with respect to these connections. Finally, we give an example of a semi-Riemannian manifold with semi-symmetric metric and non-metric connections.
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