On a class of generalized recurrent $(k,\mu)$-contact metric manifold Commun. Korean Math. Soc. Published online September 7, 2020 MOHAN KHATRI and JAY PRAKASH SINGH Mizoram University, Aizawl, India Abstract : The object of the present paper is to introduce hyper generalized $\phi$-recurrent $(k,\mu)$-contact metric manifold and quasi generalized $\phi$-recurrent $(k,\mu)$-contact metric manifold and investigate its properties. Their existence is ensured by examples. Keywords : $(k,\mu)$-contact metric manifold, Hyper generalized $\phi$-recurrent manifold, Quasi generalized $\phi$-recurrent manifold, $\eta$-Einstein manifold MSC numbers : 53C25, 53C35, 70G45 Full-Text :