The growth of the number of periodic orbits for annulus homeomorphisms and non-contractible closed geodesics on Riemannian or Finsler $\mathbb{R}P^2$

DOI10.1016/J.JDE.2023.02.012zbMath1518.37037arXiv2211.10913MaRDI QIDQ6417841

Jian Wang, Jingzhi Yan, Hui Liu

Publication date: 20 November 2022

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Periodic orbits of vector fields and flows (37C27) Orbit growth in dynamical systems (37C35) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

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