Real Kaehler submanifolds in low codimension

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...

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Bibliographic Details
Published in:Differential geometry and its applications 1997-11, Vol.7 (4), p.389-395, Article 389
Main Authors: Dajczer, Marcos, Gromoll, Detlef
Format: Article
Language:English
Subjects:
minimal immersion
Real Kaehler submanifolds
relative nullity
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Summary: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.
ISSN:0926-2245
1872-6984
DOI:10.1016/S0926-2245(97)00014-4