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2015 RICCI SOLITONS ON THREE-DIMENSIONAL $\eta$-EINSTEIN ALMOST KENMOTSU MANIFOLDS
Yaning Wang, Ximin Liu
Taiwanese J. Math. 19(1): 91-100 (2015). DOI: 10.11650/tjm.19.2015.4094

Abstract

Let the metric $g$ of a three-dimensional $\eta$-Einstein almost Kenmotsu manifold $M$ be a Ricci soliton, we prove that $M$ is a Kenmotsu manifold of constant sectional curvature $-1$ and the soliton is expanding.

Citation

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Yaning Wang. Ximin Liu. "RICCI SOLITONS ON THREE-DIMENSIONAL $\eta$-EINSTEIN ALMOST KENMOTSU MANIFOLDS." Taiwanese J. Math. 19 (1) 91 - 100, 2015. https://doi.org/10.11650/tjm.19.2015.4094

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.53051
MathSciNet: MR3313406
Digital Object Identifier: 10.11650/tjm.19.2015.4094

Subjects:
Primary: 53C25
Secondary: 53D15

Keywords: $\eta$-Einstein , almost Kenmotsu manifold , generalized $k$-nullity distribution , Ricci soliton

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

Vol.19 • No. 1 • 2015
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