On generalized pseudo-projective curvature tensor of para-Kenmotsu manifolds

Authors

  • A. Goyal University Institute of Technology, Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal, India
  • G. Pandey Government Tulsi Degree College, Anuppur, India
  • M.K. Pandey University Institute of Technology, Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal, India
  • T. Raghuwanshi University Institute of Technology, Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal, India

DOI:

https://doi.org/10.31926/but.mif.2021.1.63.1.11

Keywords:

Pseudo-projective curvature tensor, para-Kenmotsu manifold, Einstein manifold, ɳ-Einstein manifold, Generalized pseudo-projective curvature tensor

Abstract

The object of the present paper is to generalize the pseudo-projective curvature tensor of a 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 pseudo-projective curvature tensor of para-Kenmotsu manifold have been studied. It is shown that a generalized pseudoprojectively ф-symmetric para-Kenmotsu manifold is an Einstein manifold.

Author Biographies

A. Goyal, University Institute of Technology, Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal, India

Department of Mathematics, Madhya Pradesh 462033

G. Pandey, Government Tulsi Degree College, Anuppur, India

Department of Mathematics, Madhya Pradesh 484224

M.K. Pandey, University Institute of Technology, Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal, India

Department of Mathematics,  Madhya Pradesh 462033

T. Raghuwanshi, University Institute of Technology, Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal, India

Department of Mathematics, Madhya Pradesh 462033

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Published

2021-07-08

Issue

Vol. 1(63) No. 1 (2021)

Section

MATHEMATICS