Abstract
In this paper, we study the Einstein multiply warped prod- ucts with a semi-symmetric non-metric connection and the multiply warp- ed products with a semi-symmetric non-metric connection with constant scalar curvature, we apply our results to generalized Robertson-Walker spacetimes with a semi-symmetric non-metric connection and generalized Kasner spacetimes with a semi-symmetric non-metric connection and find some new examples of Einstein affine manifolds and affine manifo lds with constant scalar curvature. We also consider the multiply warped products with an affine connection with a zero torsion.
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