Abstract

The aim of the present paper is to characterized $(k,\mu)'$ almost Kenmotsu manifold admitting quarter-symmetric metric connection. Next we consider an almost Kenmotsu manifold with $h'\neq 0$ and $\xi$ belonging to $(k,\mu)'$-nullity distribution satisfying certain curvature conditions with respect to quarter-symmetric metric connection.

Keywords and Phrases

Almost Kenmotsu manifold, quarter-symmetric metric connection, curvature tensor, CR-integrable, nullity distribution.

A.M.S. subject classification

53C05, 53D10, 53D15.

.....