Certain Results on Contact Metric Generalized $(\kappa,\mu)$-space Forms
Commun. Korean Math. Soc.
Published online July 2, 2019
Aruna Kumara Huchchappa, Devaraja Mallesha Naik, and Venkatesha Venkatesha
Dept of Mathematics, Kuvempu University, Shankaraghatta, Shimoga, karnataka,India
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, 53C80, 53B20.
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