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Ricci soliton and η-Ricci soliton on Generalized Sasakian space form

Pahan Sampa (Department of Mathematics, Jadavpur University, Kolkata, India)
Dutta Tamalika (Department of Mathematics, Jadavpur University, Kolkata, India)
Bhattacharyya Arindam (Department of Mathematics, Jadavpur University, Kolkata, India)

The aim of the present paper is to study Ricci soliton, η-Ricci soliton and various types of curvature tensors on Generalized Sasakian space form. We have also studied conformal Killing vector field, torse forming vector field on Generalized Sasakian space form. We have also established suitable examples of kenmotsu manifold, Sasakian manifold and cosymplectic manifold respectively.

Keywords: Generalized Sasakian space form, Ricci soliton, η-Ricci soliton