A note on concircular curvature tensor in Lorentzian almost para-contact geometry
Abstract
The paper deals with the notion of different classes of concircular curvature tensor on Lorentzian almost para-contact manifolds admitting a quarter-symmetric metric connection. In this paper we study Lorentzian almost para-contact manifolds with respect to the quarter-symmetric metric connection satisfying the curvature condition Z.S = 0. We also investigate the properties of ξ−concircularly flat, φ−concircularly flat and quasi-concircularly flat Lorentzian almost para-contact manifolds admitting a quarter-symmetric metric connection and it is found that in each of above cases the manifold is generalized η−Einstein manifold.
Copyright © 2021 Satyendra Pratap Singh, Punit Kumar Singh, Virendra Nath Pathak. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. P. Singh, P. K. Singh, V. N. Pathak, A note on concircular curvature tensor in Lorentzian almost para-contact geometry, J. Math. Comput. Sci. 11 (2021), 2075–2091. https://doi.org/10.28919/jmcs/5450
BibTeX
@article{Singh2021,
author = {Singh, Satyendra Pratap and Singh, Punit Kumar and Pathak, Virendra Nath},
title = {A note on concircular curvature tensor in Lorentzian almost para-contact geometry},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {2075--2091},
doi = {10.28919/jmcs/5450}
}