Quasi contact metric manifolds with constant sectional curvature (Q2414070)

A quasi contact metric manifold is a certain quasi Kählerian manifold associated to an almost contact metric manifold. The terminology was introduced by \textit{J. H. Kim} et al. [Balkan J. Geom. Appl. 19, No. 2, 94--105 (2014; Zbl 1316.53085)]. In the paper it is shown that if a quasi contact metric manifold has constant sectional curvature $c$, then $c=1$. Further, if the characteristic vector field is Killing, then the manifold is Sasakian.