October 2023 Some weakly Einstein contact metric 3-manifolds
Yaning Wang, Pei Wang
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Kodai Math. J. 46(3): 324-339 (October 2023). DOI: 10.2996/kmj46305

Abstract

We prove that if a non-Sasakian contact metric 3-$\tau$-$a$-manifold or contact metric 3-$H$-manifold is weakly Einstein, then it is locally isometric to a Lie group equipped with a left invariant contact metric structure.

Acknowledgment

The authors would like to thank the reviewer for his or her careful reading and useful suggestions.

Citation

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Yaning Wang. Pei Wang. "Some weakly Einstein contact metric 3-manifolds." Kodai Math. J. 46 (3) 324 - 339, October 2023. https://doi.org/10.2996/kmj46305

Information

Received: 25 October 2022; Revised: 7 February 2023; Published: October 2023
First available in Project Euclid: 3 October 2023

MathSciNet: MR4649987
Digital Object Identifier: 10.2996/kmj46305

Subjects:
Primary: 53D10
Secondary: 53C25 , 53D15

Keywords: contact metric 3-manifold , Lie group , Weakly Einstein

Rights: Copyright © 2023 Tokyo Institute of Technology, Department of Mathematics

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Vol.46 • No. 3 • October 2023
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