On generalized M-projective curvature tensor of para-Sasakian manifold

Jain, Swati and Raghuwanshi, Teerathram and Pandey, Manoj Kumar and Goyal, Anil (2024) On generalized M-projective curvature tensor of para-Sasakian manifold. Miskolc Mathematical Notes, 25 (2). pp. 977-991. ISSN 1787-2413

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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.

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