切线束中允许非对称非度量连接(NSNMC)的Kenmotsu流形的提定理

IF 2.2 3区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Symmetry-Basel Pub Date : 2023-11-09 DOI:10.3390/sym15112037

Rajesh Kumar, Lalnunenga Colney, Mohammad Nazrul Islam Khan

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引用次数: 0

摘要

本文的主要目的是研究在切线束中允许NSNMC的Kenmotsu流形的提升。我们研究了在切束中允许NSNMC的Kenmotsu流形的曲率张量、共形曲率张量和共调和曲率张量的张量的几个性质。我们还研究并发现了允许NSNMC的Kenmotsu流形的升力在切线束中是正则的。此外，我们还发现Ricci孤子的升力在Ricci半对称Kenmotsu流形的升力上所提供的数据在切束中允许NSNMC的升力上是扩展的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 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.

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来源期刊

Symmetry-Basel MULTIDISCIPLINARY SCIENCES-

CiteScore

5.40

自引率

11.10%

发文量

2276

审稿时长

14.88 days

期刊介绍： Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.