Iterated index formulae for closed geodesics with applications

来源 :中国科学A辑 | 被引量 : 0次 | 上传用户：jiangyoung

【摘要】

：

In this paper, various precise iteration equalities and inequalities of Morse indices for the closed geodesics are established. As applications of these formula

【作者】

：

LIU Chungen LONG Yiming

【机构】

：

Department of Mathematics,Nankai Institute of Mathematics

【出处】

：

中国科学A辑

【发表日期】

：

2004年期

【关键词】

：

Riemannian manifold Morse index iteration

【基金项目】

：

国家重点基础研究发展计划(973计划);Ph.D. Fund of ME of China, PMC Key Lab of ME of China;国家自然科学基金

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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.

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Iterated index formulae for closed geodesics with applications

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