Real Kaehler submanifolds in low codimension

被引：7
|
作者：
Dajczer, M
Gromoll, D
机构：
[1] IMPA,BR-22460320 RIO JANEIRO,BRAZIL
[2] SUNY STONY BROOK,STONY BROOK,NY 11794
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1997年 / 7卷 / 04期
关键词：
real Kaehler submanifolds; relative nullity; minimal immersion;
D O I：
10.1016/S0926-2245(97)00014-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：389 / 395
页数：7
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