Abstract
The objective of the present paper is to study some new results on an epsilon-Kenmotsu manifold with a semi-symmetric metric connection. It is shown that the manifold satisfying the conditions (R) over bar(S) over bar = 0 and (S) over bar(R) over bar = 0 is an eta-Einstein manifold. Also, we obtain the conditions for the manifold with a semi-symmetric metric connection to be conformally flat.