On contact embeddings of contact manifolds in the odd dimensional Euclidean spaces

被引：3
|
作者：
Kasuya, Naohiko [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Tokyo, Japan
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2015年 / 26卷 / 07期
基金：
日本学术振兴会;
关键词：
Contact submanifolds; h-principle; unstable homotopy groups; Smale-Hirsch theory; embeddings; HOMOTOPY;
D O I：
10.1142/S0129167X15500457
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a closed co-oriented contact (2m + 1)-manifold (M2m+1, xi) can be a contact submanifold of the standard contact structure on R4m+1, if it satisfies one of the following conditions: (1) m is odd (m >= 3) and H-1 (M2m+1; Z) = 0, (2) m is even (m = 4) and M2m+1 is 2-connected, (3) m = 2 and M-5 is simply-connected.
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页数：10
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