Communications of the
Korean Mathematical Society CKMS

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Commun. Korean Math. Soc. 2020; 35(4): 1283-1297

Online first article September 7, 2020      Printed October 31, 2020

https://doi.org/10.4134/CKMS.c200128

Copyright © The Korean Mathematical Society.

On a class of generalized recurrent $(k,\mu)$-contact metric manifolds

Mohan Khatri, Jay Prakash Singh

Mizoram University; Mizoram University

Abstract

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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)

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