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arxiv: 1008.1458 · v2 · pith:MRAM52MPnew · submitted 2010-08-09 · 🧮 math.SG · math.DG· math.DS

The index quasi-periodicity and multiplicity of closed geodesics

classification 🧮 math.SG math.DGmath.DS
keywords closedgeodesicscompactconnecteddimensiondistincteveryexistence
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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 of dimension not less than 2.

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