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arxiv: math/0612596 · v1 · submitted 2006-12-20 · 🧮 math.DG

Complete real Kahler submanifolds in codimension two

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keywords kahlerrealcodimensioncompleteeuclideanminimalspaceaddition
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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 by 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.

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