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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