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2.8.04

A local and global splitting result for real Kaehler Euclidean submanifolds
We show that if a real Kaehler Euclidean submanifold is as far as possible of being minimal, then it should split locally as a product of hypersurfaces almost everywhere, possibly in lower codimension. In addition, if the manifold is complete, simply connected and has constant nullity, it should split globally as a product of surfaces in Euclidean 3-space and an Euclidean factor. Several applications are also given.

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