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On Almost Kenmotsu 3-Manifolds Which Are Conformally Flat

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Abstract

In this paper, we study conformally flat almost Kenmotsu 3-manifolds such that \(\text {tr} \, h^2\) is a constant and \(\nabla _{\xi }h=-2\alpha h\varphi \) for some constant \(\alpha \). Moreover, we classify conformally flat H-almost Kenmotsu 3-manifolds.

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Acknowledgements

The author would like to thank Professor Inoguchi for the useful comments.

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Correspondence to Ji-Eun Lee.

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Lee, JE. On Almost Kenmotsu 3-Manifolds Which Are Conformally Flat. Mediterr. J. Math. 21, 91 (2024). https://doi.org/10.1007/s00009-024-02630-3

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  • DOI: https://doi.org/10.1007/s00009-024-02630-3

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