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 Certain results on contact metric generalized $(\kappa,\mu)$-space forms Commun. Korean Math. Soc. 2019 Vol. 34, No. 4, 1315-1328 https://doi.org/10.4134/CKMS.c180446Published online October 31, 2019 Aruna Kumara Huchchappa, Devaraja Mallesha Naik, Venkatesha Venkatesha Shankaraghatta; Shankaraghatta; Shankaraghatta Abstract : 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 Downloads: Full-text PDF   Full-text HTML