A Study of New Class of Almost Contact Metric Manifolds of Kenmotsu Type

IF 0.7 Q2 MATHEMATICS Tamkang Journal of Mathematics Pub Date : 2021-02-03 DOI:10.5556/J.TKJM.52.2021.3276
H. M. Abood, M. Y. Abass
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引用次数: 2

Abstract

In this paper, we characterized a new class of almost contact metric manifolds and established the equivalent conditions of the characterization identity in term of Kirichenko’s tensors. We demonstrated that the Kenmotsu manifold provides the mentioned class; i.e., the new class can be decomposed into a direct sum of the Kenmotsu and other classes. We proved that the manifold of dimension 3 coincided with the Kenmotsu manifold and provided an example of the new manifold of dimension 5, which is not the Kenmotsu manifold. Moreover, we established the Cartan’s structure equations, the components of Riemannian curvature tensor and the Ricci tensor of the class under consideration. Further, the conditions required for this to be an Einstein manifold have been determined.
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一类新的Kenmotsu型几乎接触度量流形的研究
本文刻画了一类新的几乎接触度量流形,并建立了基里琴科张量表征恒等式的等价条件。我们证明了Kenmotsu歧管提供了上述类;也就是说,新类可以分解为Kenmotsu和其他类的直接和。我们证明了3维流形与Kenmotsu流形是一致的,并给出了一个新的5维流形的例子,它不是Kenmotsu流形。此外,我们还建立了Cartan的结构方程,黎曼曲率张量和里奇张量的分量。此外,这是一个爱因斯坦流形所需的条件已经确定。
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来源期刊
CiteScore
1.50
自引率
0.00%
发文量
11
期刊介绍: To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.
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