Abstract

Isometric immersions of Kaehler manifolds into euclidean space with real codimension 1 have been completely described, in codimension 2 at least in the complete minimal case. Codimension 3 examples are immediately obtained as complex hypersurfaces of Kaehler submanifolds in codimension one. The main purpose of this paper is to show that all local examples arise this way generically.

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