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.

DOI

10.55730/1300-0098.3424

Keywords

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

First Page

1247

Last Page

1257

Recommended Citation

CHUN, S. H, & EUH, Y (2023). Three-dimensional homogeneous contact metric manifold with weakly $\eta$-Einstein structures. Turkish Journal of Mathematics 47 (4): 1247-1257. https://doi.org/10.55730/1300-0098.3424