The Type Numbers of Closed Geodesics

被引：17
|
作者：
Taimanov, I. A. [1 ]
机构：
[1] Russian Acad Sci, Siberian Branch, SL Sobolev Inst Math, Novosibirsk 630090, Russia
来源：
REGULAR & CHAOTIC DYNAMICS | 2010年 / 15卷 / 01期
关键词：
closed geodesic; Morse theory; loop space; Finsler metric; PERIODIC-SOLUTIONS; MANIFOLDS; EXISTENCE; EXTREMALS; LENGTHS; ORBITS;
D O I：
10.1134/S1560354710010053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This is a short survey on the type numbers of closed geodesics, on applications of the Morse theory to proving the existence of closed geodesics and on the recent progress in applying variational methods to the periodic problem for Finsler and magnetic geodesics.
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页码：84 / 100
页数：17
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