On generalized projective curvature tensor of para-Kenmotsu manifolds

[摘要] The object of the present paper is to generalize Projective-curvature tensor of para-Kenmotsu manifold with the help of a new generalized (0,2) symmetric tensor Z introduced by Mantica and Suh. Various geometric properties of generalized Projective-curvature tensor of para-Kenmotsu manifold have been studied. It is shown that a generalized projectively phi-symmetric para-Kenmotsu manifold is an Einstein manifold.

[学科分类] 数学（综合）

[关键词] Projective curvature tensor;para-Kenmotsu manifold;Einstein manifold;Generalized projective curvature tensor