Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2019; 34(4): 1315-1328

Online first article August 27, 2019      Printed October 31, 2019

https://doi.org/10.4134/CKMS.c180446

Copyright © The Korean Mathematical Society.

Certain results on contact metric generalized $(\kappa,\mu)$-space forms

Aruna Kumara Huchchappa, Devaraja Mallesha Naik, Venkatesha Venkatesha

Shankaraghatta; Shankaraghatta; Shankaraghatta

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The object of the present paper is to study $\eta$-recurrent $*$-Ricci tensor, $*$-Ricci semisymmetric and globally $\varphi$-$*$-Ricci symmetric contact metric generalized $(\kappa,\mu)$-space form. Besides these, $*$-Ricci soliton and gradient $*$-Ricci soliton in contact metric generalized $(\kappa,\mu)$-space form have been studied.

Keywords: generalized $(\kappa,\mu)$-space forms, Sasakian manifold, $*$-Ricci soliton, gradient $*$-Ricci soliton

MSC numbers: 53C15, 53C25, 53B20

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