Altunbaş, Murat; Akpınar, Ayşe Karanlık

In the present work, it is proved that LP-Sasakian manifolds which are T-flat, quasi-T-flat, ξ-T-flat, ϕ-T-flat, T-semi-symmetric,ϕ- T-Ricci recurrent, C-Bochner flat, or satisfy T ·S = 0, are generalized η-Einstein manifolds. The T-curvature and C-Bochner curvature tensors are defined with respect to a general connection ∇ which includes the quarter-symmetric metric, Schouten–van Kampen, Tanaka–Webster, and Zamkovoy connections.