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Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold

In: Mathematica Slovaca, vol. 70, no. 1
Amalendu Ghosh -

Details:

Year, pages: 2020, 151 - 160
Keywords:
almost contact metric manifold; Kenmotsu manifold; Yamabe soliton; quasi-Yamabe soliton
About article:
In this paper, we study Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold. First, we prove that if a Kenmotsu metric is a Yamabe soliton, then it has constant scalar curvature. Examples has been provided on a larger class of almost Kenmotsu manifolds, known as $β$-Kenmotsu manifold. Next, we study quasi Yamabe soliton on a complete Kenmotsu manifold $M$ and proved that it has warped product structure with constant scalar curvature in a region $Σ$ where $|Df| ≠ 0$.
How to cite:
ISO 690:
Ghosh, A., , . 2020. Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold. In Mathematica Slovaca, vol. 70, no.1, pp. 151-160. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0340

APA:
Ghosh, A., , . (2020). Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold. Mathematica Slovaca, 70(1), 151-160. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0340
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 13. 1. 2020