The Non-contractibility of Closed Geodesics on Finsler RPn

• 作者: Hua Gui DUAN Hui LIU
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2022,（1）
• 页码范围: 1-21
• 页数: 21页
• 语种: 英文

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.