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Two theorems on Kenmotsu hypersurfaces in a \(W_3\)-manifold. (English) Zbl 1112.53044
Summary: A criterion of the minimality of a Kenmotsu hypersurface in a special Hermitian manifold is established. It is also proved that a Kenmotsu hypersurface in a special Hermitian manifold is minimal if and only if its type number is even.

MSC:
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53C55 Global differential geometry of Hermitian and Kählerian manifolds
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