Study on a Class of P-Kenmotsu Manifolds Admitting Weyl-projective Curvature Tensor of Type (1, 3)

We investigated a class of para-Kenmotsu manifolds that admit the type Weyl-projective curvature tensor (1, 3). The following is a breakdown of the current project: Section 2 contains certain prerequisites related to P-Kenmotsu manifolds. We describe W2-recurrent and semisymmetric para-Kenmotsu manifolds in Section 3 and prove that the W2-recurrent para-Kenmotsu manifold is semisymmetric. Finally, an n-dimensional (n > 2) P-Kenmotsu manifold is proved to be Ricci semisymmetric only if and only if it is an Einstein manifold.

Author (S) Details

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

Sunitha Devi
Department of Mathematics, Vignan Institute of Information Technology, Visakhapatnam, India.

V. S. R. Deekshitulu
Department of Mathematics, Jawaharlal Nehru Technological University, Kakinada, India.

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