Real Kaehler submanifolds in low codimension

✍ Scribed by Marcos Dajczer; Detlef Gromoll

• Book ID: 104358304
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 438 KB
• Volume: 7
• Category: Article
• ISSN: 0926-2245
• DOI: 10.1016/s0926-2245(97)00014-4

✦ Synopsis

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.