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Remark on mixed foliate generic submanifolds. (English) Zbl 0598.53051
A generic mixed foliate submanifold M of a Kähler manifold M’ is a generic product if either the holomorphic bisectional curvature of M’ is nonnegative or M is a CR-manifold and its Riemannian sectional curvature is non-negative. Positivity of the curvatures at a point of M assures that M is holomorphic or purely real.
Reviewer: G.Andrzejczak
MSC:
53C40 Global submanifolds
53C55 Global differential geometry of Hermitian and Kählerian manifolds
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