MMN-4309
On generalized M-projective curvature tensor of para-Sasakian manifold
Swati Jain;
Teerathram Raghuwanshi;
Manoj Kumar Pandey;
Anil Goyal;
Abstract
The purpose of the present paper is to study some properties of generalized M-projective curvature tensor of a para-Sasakian manifold admitting Zamkovoy connection. The generalized M-projective is obtained with the help of a new generalized (0,2) symmetric tensor Z introduced by Mantica and Suh [10]. It is shown that para-Sasakian manifold satisfying the condition R(X,Y ) ⋅M~∗∗ = 0 is an η-Einstein manifold. Also, we found that a para-Sasakian manifold satisfying M~∗∗(X,Y ) ⋅ S = 0 is either an Einstein manifold or ψ = 1 on it.
Vol. 25 (2024), No. 2, pp. 977-991