Study on Semi-symmetric Para Kenmotsu Manifolds

We look into a few intriguing properties of para Kenmotsu (also known as p-Kenmotsu) manifolds that satisfy the requirements R(X,Y). R(X,Y) = 0, R(X,Y) = 0, R(X,Y) = 0, R(X,Y P(X,Y) and P(X,Y) P(X,Y) is the Weyl projective curvature tensor of the manifold, and R(X,Y) is the Riemannian curvature tensor. A semi-symmetric p-Kenmotsu manifold (Mn,g) with constant curvature is shown to be a sp-Kenmotsu manifold. We also show that a p-Kenmotsu manifold is projectively flat by obtaining the necessary and sufficient conditions for it to be Weyl projective semi-symmetric. Finally, we show that the condition P(X,Y) is satisfied. When R = 0 on a p-Kenmotsu manifold, the scalar curvature remains constant.

Author (S) Details

T. Satyanarayana
Department of Mathematics, Pragathi Engineering College, Surampalem, Andhra Pradesh, India.K. L.

Sai Prasad
Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Visakhapatnam, Andhra Pradesh, India.

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