For an almost r-paracontact manifold $M$ with a structure $\,\Sigma$, almost r-paracontact connections, $D$-connections, and pairs of connections compatible with $\,\Sigma$ have been defined and discussed in \cite{2}. In this paper, which is a continuation of \cite{2}, some properties of almost r-paracontact manifolds have been studied by means of the curvature and torsion tensor fields of these connections.
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