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J. Korean Math. Soc. 2019; 56(4): 917-934

Online first article May 29, 2019 Printed July 1, 2019

https://doi.org/10.4134/JKMS.j180473

Copyright © The Korean Mathematical Society.

Homogeneity and symmetry on almost Kenmotsu $3$-manifolds

Yaning Wang

Henan Normal University

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Abstract

In this paper, we give some classifications of almost Kenmotsu $3$-manifolds under homogeneity and some symmetry conditions.

Keywords: almost Kenmotsu $3$-manifold, homogeneity, semi-symmetry, local $\phi$-symmetry, Lie group

MSC numbers: Primary 53D15; Secondary 53C25

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