IMPA

Preprint SÚrie A 306/2004

Complete real Kahler submanifolds in codimension two

Luis A. Florit , Fangyang Zheng

Keywords:
complete Kahler submanifolds, codimension two

Abstract:
Minimal isometric immersions F in codimension two from a complete Kahler manifold into Euclidean space had been classified for dimension greater than or equal to 3. In this note we describe the non--minimal situation showing that, if F is real analytic but not everywhere minimal, then F is a cylinder over a real Kahler surface G in Euclidean 6-space. In addition, G can be further described.

MSC 2000:
53C40    Global submanifolds
53B25    Local submanifolds


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