典型文献
A Review of the Index Method in Closed Geodesic Problem
文献摘要:
In this paper we review and systematize the index method in closed geodesic problem.As we know,the closed geodesic problem on compact Riemannian or Finsler manifold is a famous problem,and has far from been resolved.In recent years,the Maslov-type index theory for symplectic path has been applied to studying the closed geodesic problem,and has induced a great number of results on the multiplicity and stability of closed geodesics.We will systematically introduce these progresses in this review.
文献关键词:
中图分类号:
作者姓名:
Sai LIU;Wei WANG
作者机构:
School of Mathematical Sciences,Peking University,Beijing 100871,P.R.China
文献出处:
引用格式:
[1]Sai LIU;Wei WANG-.A Review of the Index Method in Closed Geodesic Problem)[J].数学学报(英文版),2022(01):85-96
A类:
Maslov,geodesics
B类:
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AB值:
0.592096
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