In this paper, we give some characterizations for proper f-biharmonic curves in the para-Bianchi-Cartan-Vranceanu space forms with 3-dimensional para-Sasakian structures.
This 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 an example 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.
AbstractWe set a definition of a {(0,2)}-type tensor on the generalized Sasakian-space-forms. The necessary and sufficient conditions for W-semisymmetric generalized Sasakian-space forms are studied. Certain results of the Ricci solitons, the Killing vector fields and the closed 1-form on the generalized Sasakian-space-forms are derived. We also verify our results by taking non-trivial examples of the generalized Sasakian-space-forms.
In this paper, we characterize Ricci–Yamabe solitons and gradient Ricci–Yamabe solitons on 3-dimensional generalized Sasakian space forms with quasi Sasakian metric. Furthermore, we study [Formula: see text]-Ricci–Yamabe solitons and gradient [Formula: see text]-Ricci–Yamabe solitons on 3-dimensional generalized Sasakian space forms with quasi Sasakian metric. Finally, we construct an example to verify a result of our paper.
f-Biharmonic Curves in the Three-dimensional Para-Sasakian Space Forms
