On para-Sasakian manifold admitting Zamkovoy connection

Authors

  • A. Goyal University Institute of Technology, India
  • S. Jain University Institute of Technology, India
  • M.K. Pandey University Institute of Technology, India

DOI:

https://doi.org/10.31926/but.mif.2024.4.66.1.6

Keywords:

M-projective curvature tensor, Zamkovoy connection, para-Sasakian manifold, Generalized η-Einstein manifold

Abstract

The purpose of the present paper is to study some properties of para-Sasakian manifold admitting Zamkovoy connection. We obtain some interesting result on para-Sasakian manifold. It is shown that M-projectively flat para-Sasakian manifold is η-Einstein manifold.

Author Biographies

A. Goyal, University Institute of Technology, India

Department of Mathematics, Rajiv Gandhi Proudyogiki, Vishwavidyalaya, Bhopal, Madhya Pradesh 462033

S. Jain, University Institute of Technology, India

Department of Mathematics, Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal, Madhya Pradesh 462033

M.K. Pandey, University Institute of Technology, India

Department of Mathematics, Rajiv Gandhi Proudyogiki, Vishwavidyalaya, Bhopal, Madhya Pradesh 462033

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Published

2024-05-15

Issue

Section

MATHEMATICS