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

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 N...

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Bibliographic Details
Published in:Symmetry (Basel) 2023-11, Vol.15 (11), p.2037
Main Authors: Kumar, Rajesh, Colney, Lalnunenga, Khan, Mohammad Nazrul Islam
Format: Article
Language:English
Subjects:
Curvature
curvature tensor
Geometry
Kenmotsu manifolds
Lifts
Manifolds
Mathematical analysis
non-symmetric non-metric connection
Partial differential equations
Solitary waves
tangent bundle
Tensors
vertical and complete lifts
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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15112037