Tangent Bundles of P-Sasakian Manifolds Endowed with a Quarter-Symmetric Metric Connection

Author:

Khan Mohammad Nazrul Islam1ORCID,Mofarreh Fatemah2ORCID,Haseeb Abdul3ORCID

Affiliation:

1. Department of Computer Engineering, College of Computer, Qassim University, Buraydah 51452, Saudi Arabia

2. Mathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi Arabia

3. Department of Mathematics, College of Science, Jazan University, P.O. Box 2097, Jazan 45142, Saudi Arabia

Abstract

The purpose of this study is to evaluate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection on the tangent bundle TM. Certain results on a semisymmetric P-Sasakian manifold, generalized recurrent P-Sasakian manifolds, and pseudo-symmetric P-Sasakian manifolds on TM are proved.

Funder

Princess Nourah bint Abdulrahman University

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference41 articles.

1. On semi-symmetric and quarter-symmetric linear connections;Golab;Tensor NS,1975

2. Balcerzak, B. (2021). On symmetric brackets induced by linear connections. Symmetry, 13.

3. Schouten, J.A. (1954). Ricci-Calculus—An Introduction to Tensor Analysis and Geometrical Applications, Springer.

4. Quarter-symmetric metric connection in SP-Sasakian manifold;Biswas;Common. Fac. Sci. Univ. Ank. Al.,1997

5. On ϕ-Recurrent para-Sasakian manifold admitting quarter-symmetric metric connection;Kumar;ISRN Geom.,2012

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3