A Classification of Three-Dimensional Weakly η-Einstein Manifolds
  • Chun, Sun Hyang
  • Euh, Yunhee
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초록

In Cho et al. (Results Math 77(3):16, 2022), the authors defined the notion of the weakly eta-Einstein structure on almost contact metric manifolds. In this paper, we investigate some classes of three-dimensional almost contact metric manifolds with weakly eta-Einstein structures. In particular, we classify the contact metric manifold, the almost cosymplectic manifold and the almost Kenmotsu manifold.

키워드

Weakly eta-Einstein structurecontact metric manifoldsalmost cosymplectic manifoldsalmost Kenmotsu manifoldsREEB FLOW SYMMETRYCONTACTMETRICS
제목
A Classification of Three-Dimensional Weakly η-Einstein Manifolds
저자
Chun, Sun HyangEuh, Yunhee
DOI
10.1007/s00009-025-02966-4
발행일
2025-10
유형
Article
저널명
Mediterranean Journal of Mathematics
22
8