Transversal hypersurfaces of Kenmotsu manifold. (Q1396262)

In this paper the authors show the following on Kenmotsu manifolds \(K\): Each transversal hypersurface \(H\) in \(K\) admits a Kähler structure. The fundamental 2-form of the induced \textit{K. Yano} and \textit{M. Okumura} structure [Kodai Math. Semin. Rep. 22, 401--423 (1970; Zbl 0204.54801)] on \(H\) in \(K\) is closed. A transversal hypersurface \(H\) in an almost contact manifold \(M\) admits an almost complex structure. Each \(H\) in an almost contact metric manifold admits an almost Hermitian structure.