“…The generalized Sasakian-space-forms have been studied by several authors such as Alegre and Carriazo ([2], [3], [4]), Belkhelfa, Deszcz and Verstraelen [9], Carriazo [12], Ghefari, Al-Solamy and Shahid [16], Gherib et. al ( [17], [18]), Hui et.…”
The present paper deals with the study of generalized Sasakian-space-forms whose metric is Ricci almost soliton with a conformal killing vector field. We obtain sufficient conditions of such type of Ricci almost solitons to be expanding, steady and shrinking respectively.
“…The generalized Sasakian-space-forms have been studied by several authors such as Alegre and Carriazo ([2], [3], [4]), Belkhelfa, Deszcz and Verstraelen [9], Carriazo [12], Ghefari, Al-Solamy and Shahid [16], Gherib et. al ( [17], [18]), Hui et.…”
The present paper deals with the study of generalized Sasakian-space-forms whose metric is Ricci almost soliton with a conformal killing vector field. We obtain sufficient conditions of such type of Ricci almost solitons to be expanding, steady and shrinking respectively.
“…The generalized Sasakian-space-forms have been studied by several authors such as Alegre and Carriazo ( [2], [3], [4]), Belkhelfa et al [9], Carriazo [11], Al-Ghefari et al [5], Gherib et al [20], Hui et al ( [30], [30]), Kim [33] and many others.…”
The present paper deals with the study of invariant submanifolds of generalized Sasakian-space-forms with respect to Levi-Civita connection as well as semi-symmetric metric connection. We provide some examples of such submanifolds and obtain many new results including, the necessary and sufficient conditions under which the submanifolds are totally geodesic. The Ricci solitons of such submanifolds are also studied.2000 Mathematics Subject Classification. 53C15, 53C40.
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