典型文献
The Non-contractibility of Closed Geodesics on Finsler RPn
文献摘要:
Let(RPn,F)be a bumpy and irreversible Finsler n-dimensional real projective space with reversibility λ and flag curvature K satisfying(λ/1+λ)2<K<1 when n is odd,and K≥0 when n is even.We show that if there exist exactly2[n+1/2]prime closed geodesics on such(RPn,F),then all of them are non-contractible,which coincides with the Katok's examples.
文献关键词:
中图分类号:
作者姓名:
Hua Gui DUAN;Hui LIU
作者机构:
School of Mathematical Sciences and LPMC,Nankai University,Tianjin 300071,P.R.China;School of Mathematics and Statistics,Wuhan University,Wuhan 430072,P.R.China
文献出处:
引用格式:
[1]Hua Gui DUAN;Hui LIU-.The Non-contractibility of Closed Geodesics on Finsler RPn)[J].数学学报(英文版),2022(01):1-21
A类:
contractibility,Geodesics,RPn,bumpy,exactly2,geodesics,contractible,Katok
B类:
Non,Closed,Finsler,Let,be,irreversible,dimensional,real,projective,space,reversibility,flag,curvature,satisfying,1+,when,odd,even,We,show,that,if,there,exist,n+1,prime,closed,such,then,all,them,are,which,coincides,examples
AB值:
0.549231
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