Iterated index formulae for closed geodesies with applications  

Iterated index formulae for closed geodesics with applications

作　　者：刘春根 龙以明 

出　　处：《Science China Mathematics》2002年第1期9-28,共19页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China (Grant No. 10071040);Ph.D. Fund of ME of China, PMC Key Lab of ME of China, the 973 Program of STM, RFDP, MCME of China, CEC of Tianjin, S. S. Chern Foundation.

摘　　要：In this paper, various precise iteration equalities and inequalities of Morse indices for the closed geodesics are established. As applications of these formulae, multiplicity results of closed geodesics on some Riemannian manifolds are proved.

关 键 词：Riemannian manifold Morse index ITERATION 

分 类 号：O186.1[理学—数学]