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 On a class of generalized recurrent $(k,\mu)$-contact metric manifolds Commun. Korean Math. Soc. 2020 Vol. 35, No. 4, 1283-1297 https://doi.org/10.4134/CKMS.c200128Published online September 7, 2020Printed October 31, 2020 Mohan Khatri, Jay Prakash Singh Mizoram University; Mizoram University Abstract : The goal of this paper is the introduction of hyper generalized $\phi$-recurrent $(k,\mu)$-contact metric manifolds and of quasi generalized $\phi$-recurrent $(k,\mu)$-contact metric manifolds, and the investigation of their properties. Their existence is guaranteed by examples. Keywords : $(k,\mu)$-contact metric manifold, hyper generalized $\phi$-recurrent manifold, quasi generalized $\phi$-recurrent manifold, $\eta$-Einstein manifold MSC numbers : 53C25, 53C15, 53D15 Supported by : The second au-thor is thankful to Department of Science and Technology, New Delhi, India for nancial support in the form of Inspire Fellowship (DST/INSPIRE Fellow- ship/2018/IF180830) Downloads: Full-text PDF   Full-text HTML