We look at a class of virtually para-contact metric manifolds called para-Kenmotsu (or P-Kenmotsu) manifolds Mn that admit the condition R in this chapter (X, Y). C = 0, where C denotes the manifold's conformal curvature tensor and R denotes the Riemannian curvature tensor. For tangent vectors X and Y, R(X, Y) is a derivation of the tensor algebra at each point of the manifold. We investigate and demonstrate that a P-Kenmotsu manifold (Mn, g) (n > 3) admitting the condition R is a P-Kenmotsu manifold (Mn, g) (n > 3) (X, Y). C = 0 is conformally flat, hence it's an SP-Kenmotsu manifold, with Riemannian metric g. We have and hence for such a manifold R for a conformally symmetric Riemannian manifold (X, Y). C = 0 is valid. As a result, we can deduce the following conclusion. An SP-Kenmotsu manifold is a conformally symmetric P-Kenmotsu manifold (Mn, g) (n > 3). The chapter concludes with a statement that the physical relevance of the structures and relationships presented in this chapter should be identified and strengthened.
Author (S) Details
T. Satyanarayana
Department of Mathematics, Pragati Engineering College, Surampalem, Near Peddapuram, Andhra Pradesh, India.
K. L. Sai Prasad
Department of Mathematics, GVP College of Engineering For Women, Visakhapatnam, Andhra Pradesh, India.
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