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

Autor:	Rajesh Kumar, Lalnunenga Colney, Mohammad Nazrul Islam Khan
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Kenmotsu manifolds non-symmetric non-metric connection vertical and complete lifts tangent bundle partial differential equations curvature tensor Mathematics QA1-939
Zdroj:	Symmetry, Vol 15, Iss 11, p 2037 (2023)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym15112037
Popis:	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.
Databáze:	Directory of Open Access Journals
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