摘要
Let(RP^(n),F)be a bumpy and irreversible Finsler n-dimensional real projective space with reversibilityλand 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 exactly 2[n+1/2]prime closed geodesics on such(RP^(n),F),then all of them are non-contractible,which coincides with the Katok’s examples.
基金
The first author was partially supported by National Key R&D Program of China(Grant No.2020YFA0713300)
NSFC(Grant Nos.11671215 and 11790271)
LPMC of MOE of China and Nankai University
the second author was partially supported by NSFC(Grant Nos.11771341 and 12022111)。
