某类单连通紧流形上的闭测地线的多重性(英文)  

THE MULTIPLICITY OF CLOSED GEODESICS ON SOME COMPACT SIMPLY CONNECTED MANIFOLDS

作　　者：刘春根[1] 

机构地区：[1]南开大学数学系,天津300071

出　　处：《南开大学学报（自然科学版）》2004年第1期33-38,共6页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by NNSF( 1 0 0 71 0 40 ),Exc Ph D Funds of ME of China( 2 0 0 0 1 4),PMC Key Lab of MEof China

摘　　要：本文研究一类单连通紧流形上的闭测地线的多重性与稳定性 。In this paper, the stability and multiplicity of closed geodesics are considered on some compact simply connected manifolds with the cohomology algebra T\-\{d,n\}(x) of truncated polynomial algebra.

关 键 词：FINSLER流形 MORSE指标 椭圆与双曲闭测地线 

分 类 号：O175.9[理学—数学]