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 Riema...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.展开更多
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.
文摘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.
