Some results on β-kenmotsu manifolds with a non-symmetric non-metric connection

Authors

  • Abhishek Singh Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya(U.P.)
  • Mobin Ahmad Department of Mathematics and Statistics, Faculty of Science, Integral University, Lucknow-226026, India. https://orcid.org/0000-0002-4131-3391
  • Sunil Kumar Yadav POORNIMA COLLEGE OF ENGINEERING,JAIPUR https://orcid.org/0000-0001-6930-3585
  • Shraddha Patel Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya(U.P.) https://orcid.org/0000-0001-9773-9546

Keywords:

Non-symmetric non-metric connection, -Kenmotsu manifold, conformal curvature tensor, Ricci soliton, Einstein manifold, Ricci semi-symmetric

Abstract

The object of the present paper is to study some results on a $\beta$-Kenmotsu manifold with a non-symmetric non-metric connection. We obtain the condition for the manifold with a non-symmetric non-metric connection to be projectively flat and conformally flat. Also, it has been demonstrated that the manifold satisfying the condition $\mathcal{\breve{R}^{\dag}\cdot\breve{S}^{\dag}}$=$0$ is an Einstein manifold. Further, by virtue of this result, we found the condition of Ricci soliton in $\beta$-Kenmotsu manifold to be expanding.

Vol. 7 No. 1 (2024): International Journal of Maps in Mathematics

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Published

2024-03-15

How to Cite

Singh, A. ., Ahmad, M. ., Yadav, S. K., & Patel, S. . (2024). Some results on β-kenmotsu manifolds with a non-symmetric non-metric connection. International Journal of Maps in Mathematics, 7(1), 20–32. Retrieved from https://journalmim.com/index.php/journalMIM/article/view/7-1-2

Issue

Vol. 7 No. 1 (2024): International Journal of Maps in Mathematics

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Articles

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