Open Access
september 2016 Yamabe solitons on three-dimensional Kenmotsu manifolds
Yaning Wang
Bull. Belg. Math. Soc. Simon Stevin 23(3): 345-355 (september 2016). DOI: 10.36045/bbms/1473186509

Abstract

Let the Riemannian metric of a three-dimensional Kenmotsu manifold be a Yamabe soliton. In this paper, we prove that the Kenmotsu manifold is of constant sectional curvature $-1$ and the Yamabe soliton is expanding with the soliton constant $\lambda=-6$.

Citation

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Yaning Wang. "Yamabe solitons on three-dimensional Kenmotsu manifolds." Bull. Belg. Math. Soc. Simon Stevin 23 (3) 345 - 355, september 2016. https://doi.org/10.36045/bbms/1473186509

Information

Published: september 2016
First available in Project Euclid: 6 September 2016

zbMATH: 1350.53040
MathSciNet: MR3545456
Digital Object Identifier: 10.36045/bbms/1473186509

Subjects:
Primary: 53D15
Secondary: 53C25

Keywords: 3-dimensional Kenmotsu manifold , constant sectional curvature , Ricci soliton , Yamabe soliton

Rights: Copyright © 2016 The Belgian Mathematical Society

Vol.23 • No. 3 • september 2016
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