Jin, Jieun; Park, Jeong; Sekigawa, Kouei Notes on some classes of 3-dimensional contact metric manifolds. (English) Zbl 1284.53075 Balkan J. Geom. Appl. 17, No. 2, 54-65 (2012). Summary: A review of the geometry of 3-dimensional contact metric manifolds shows that generalized Sasakian manifolds and \(\eta \)-Einstein manifolds are deeply interrelated. For example, it is known that a 3-dimensional Sasakian manifold is \(\eta \)-Einstein. In this paper, we discuss the relationships between several special classes of 3-dimensional contact metric manifolds which are generalizations of 3-dimensional Sasakian manifolds. We also provide examples illustrating our result in this paper. Cited in 1 Document MSC: 53D10 Contact manifolds (general theory) 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) Keywords:Sasakian manifolds; contact metric manifolds PDFBibTeX XMLCite \textit{J. Jin} et al., Balkan J. Geom. Appl. 17, No. 2, 54--65 (2012; Zbl 1284.53075) Full Text: EMIS