Complete real Kahler submanifolds in codimension two

2006/12/20 by Luis A. Florit, Florit, Luis A., Fangyang Zheng +1
Mathematics · #53B25 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B25 #msc:53C40

paper · pdf · doi:10.48550/arxiv.math/0612596

11 pages

arxiv created 2006/12/20 · arxiv updated 2009/12/01

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 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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