Noncompact leaves of foliations of Morse forms

被引：4
|
作者：
Mel'nikova, IA
机构：
[1] Central Research Institute for Economics,
[2] Informatics,undefined
[3] and Control Systems,undefined
来源：
MATHEMATICAL NOTES | 1998年 / 63卷 / 5-6期
关键词：
Morse forms; noncompact leaves of foliations; two-dimensional manifolds;
D O I：
10.1007/BF02312769
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper foliations determined by Morse forms on compact manifolds are considered. An inequality involving the number of connected components of the set formed by noncompact leaves, the number of homologically independent compact leaves, and the number of singular points of the corresponding Morse form is obtained.
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页码：760 / 763
页数：4
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