Critical point theory in knot complements

被引：1
|
作者：
Haddad, Julian
Amster, Pablo
机构：
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2014年 / 36卷
关键词：
D O I：
10.1016/j.difgeo.2014.07.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a Morse function defined in the complement of a knot K subset of R-3 we obtain a lower bound for the number of its critical points, depending on a knot invariant t(K) known as the "tunnel number". This lower bound is used to prove existence of many periodic solutions in a system of differential equations from celestial mechanics. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：56 / 65
页数：10
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