Three-dimensional homogeneous contact metric manifold with weakly $\eta$-Einstein structures

Authors: SUN HYANG CHUN, YUNHEE EUH

Abstract: In this paper, we determine the geometric structures of 3-dimensional weakly $\eta$-Einstein almost contact metric manifolds and classify 3-dimensional weakly $\eta$-Einstein simply connected homogeneous contact metric manifolds based on Perrone's classification.

Keywords: Weakly $\eta$-Einstein structure, homogeneous contact metric manifold

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