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math.SG2010★ 7 cited
The index quasi-periodicity and multiplicity of closed geodesics
Huagui Duan, Yiming Long
In this paper, we prove the existence of at least two distinct closed geodesics on every compact simply connected irreversible or reversible Finsler (including Riemannian) manifold…
math.DG2010★ 3 cited
The index growth and multiplicity of closed geodesics
Huagui Duan, Yiming Long
In the recent paper \cite{LoD1}, we classified closed geodesics on Finsler manifolds into rational and irrational two families, and gave a complete understanding on the index growt…