  In this paper, we generalize the results in [Y. Wang: Affine connections on
singular warped products. Int. J. Geom. Methods Mod. Phys. 18(5), 2150076,
(2021).] to singular multiply warped products and singular twisted products. We
study singular multiply warped products and singular twisted products and their
curvature with the semi-symmetric metric connection and the semi-symmetric
non-metric connection. We also discuss Koszul forms associated with the almost
product structure and their curvature of singular multiply warped products and
singular twisted products. Finally, several examples are presented to
demonstrate the theoretical results.
