Proposed Theorems on the Lifts of Kenmotsu Manifolds Admitting a Non-Symmetric Non-Metric Connection (NSNMC) in the Tangent Bundle

Author:

Kumar Rajesh1ORCID,Colney Lalnunenga12ORCID,Khan Mohammad Nazrul Islam3ORCID

Affiliation:

1. Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, India

2. Department of Mathematics and Computer Science, Mizoram University, Aizawl 796004, India

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

Abstract

The main aim of the proposed paper is to investigate the lifts of Kenmotsu manifolds that admit NSNMC in the tangent bundle. We investigate several properties of the lifts of the curvature tensor, the conformal curvature tensor, and the conharmonic curvature tensor of Kenmotsu manifolds that admit NSNMC in the tangent bundle. We also study and discover that the lift of the Kenmotsu manifold that admit NSNMC is regular in the tangent bundle. Additionally, we find that the data provided by the lift of Ricci soliton on the lift of Ricci semi-symmetric Kenmotsu manifold that admits NSNMC in the tangent bundle are expanding.

Funder

Scientific Research, Qassim University

Publisher

MDPI AG

Subject

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

Reference32 articles.

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4. On a Kaehler manifold equipped with lift of quarter symmetric non-metric connection;Pandey;Facta Univ. Ser. Math. Inform.,2018

5. Liftings from a para-Sasakian manifold to its tangent bundles;Khan;Filomat,2023

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