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

Authors

  • K. L. Sai Prasad Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Visakhapatnam, India.
  • S. Sunitha Devi Department of Mathematics, Vignan Institute of Information Technology, Visakhapatnam, India.
  • G. V. S. R. Deekshitulu Department of Mathematics, Jawaharlal Nehru Technological University, Kakinada, India.

DOI:

https://doi.org/10.9734/bpi/ramrcs/v1/4441F

Keywords:

Para kenmotsu manifold, recurrent manifold, W2 - Curvatute tensor, Ricci tensor, Einstein manifold

Abstract

We studied a class of para-Kenmotsu manifolds admitting Weyl-projective curvature tensor of type (1, 3). The present work is organised as follows: Section 2 is equipped with some prerequisites about P-Kenmotsu manifolds. In Section 3, we define W2-recurrent and semisymmetric para-Kenmotsu manifolds and shown that W2-recurrent para-Kenmotsu manifold is a semisymmetric manifold. At the end, it is shown that an n-dimensional (n > 2) P-Kenmotsu manifold is Ricci semisymmetric if and only if it is an Einstein manifold.

Published

2021-10-15

How to Cite

K. L. Sai Prasad, S. Sunitha Devi, & G. V. S. R. Deekshitulu. (2021). Study on a Class of P-Kenmotsu Manifolds Admitting Weyl-projective Curvature Tensor of Type (1, 3). Recent Advances in Mathematical Research and Computer Science Vol. 1, 21–27. https://doi.org/10.9734/bpi/ramrcs/v1/4441F

Issue

Recent Advances in Mathematical Research and Computer Science Vol. 1

Section

Chapters