Special multiply Einstein warped products with an affine connection
The aim of this paper is to study special multiply Einstein warped products having an affine connection. Let [Formula: see text] be a multiply warped product such that [Formula: see text] is an open interval, [Formula: see text] [Formula: see text] [Formula: see text] [Formula: see text] for every [Formula: see text] [Formula: see text] [Formula: see text] and [Formula: see text] an affine connection on [Formula: see text] We compute the warping functions that make [Formula: see text] an Einstein space in the following cases: (a) [Formula: see text] is a semi-symmetric metric/non-metric connection and all the fibers are Ricci flat. (b) [Formula: see text] is a quarter-symmetric metric/non-metric connection and all the fibers are Ricci flat.