Shahid, M. Hasan Anti-invariant submanifolds of a Kenmotsu manifold. (English) Zbl 0870.53024 Kuwait J. Sci. Eng. 23, No. 2, 145-151 (1996). Let \(\overline{M}(\Phi, \xi, \eta,g)\) be an almost contact metric manifold. \(\overline M\) is a Kenmotsu manifold if \[ (\overline\nabla_X\Phi)(Y) =g(\Phi X,Y) \xi- \eta(X) \Phi X, \quad \forall X,Y \in T\overline M \] [K. Kenmotsu, Tôhoku Math. J. 24, 93-103 (1972; Zbl 0245.53040)]. An immersed submanifold \(M\) of \(\overline M\) is called anti-invariant if \(\Phi T_x M \subset T_x^\perp \overline M\) forall \(x\in M\).The author establishes several properties of the geometric objects on such a manifold \(M\), when the vector field \(\xi\) is tangent to \(M\) and when \(\xi\) is normal to \(M\). Reviewer: I.D.Albu (Timişoara) Cited in 4 Documents MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) Keywords:almost contact structure; anti-invariant submanifold; curvature; Kenmotsu manifold Citations:Zbl 0245.53040 PDFBibTeX XMLCite \textit{M. H. Shahid}, Kuwait J. Sci. Eng. 23, No. 2, 145--151 (1996; Zbl 0870.53024)