Closed geodesics and the fundamental group

DOI10.1215/S0012-7094-81-04832-8zbMath0476.58010OpenAlexW2090125021MaRDI QIDQ1160470

Werner Ballmann, Wolfgang Ziller, Gudlaugur Thorbergsson

Publication date: 1981

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-81-04832-8

zbMATH Keywords

number of prime closed geodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (18)

Closed geodesics on connected sums and \(3\)-manifolds ⋮ The second closed geodesic, the fundamental group, and generic Finsler metrics ⋮ Isometry-invariant geodesics on spheres ⋮ Resonance identity and multiplicity of non-contractible closed geodesics on Finsler \(\mathbb{R} P^n\) ⋮ Two closed geodesics on \(\mathbb RP^{2n+1}\) with a bumpy Finsler metric ⋮ The optimal lower bound estimation of the number of closed geodesics on Finsler compact space form \(S^{2n+1}/ \Gamma \) ⋮ A Bangert-Hingston theorem for starshaped hypersurfaces ⋮ The growth of the number of periodic orbits for annulus homeomorphisms and non-contractible closed geodesics on Riemannian or Finsler \(\mathbb{R} P^2\) ⋮ The type numbers of closed geodesics ⋮ Iteration of closed geodesics in stationary Lorentzian manifolds ⋮ Homotopy groups of highly connected manifolds ⋮ The Fadell-Rabinowitz index and multiplicity of non-contractible closed geodesics on Finsler \(\mathbb{R} P^n\) ⋮ Qualitative counting closed geodesics ⋮ A Viscosity method for the min-max construction of closed geodesics ⋮ Waist theorems for Tonelli systems in higher dimensions ⋮ Multiplicity of non-contractible closed geodesics on Finsler compact space forms ⋮ Topological structure of non-contractible loop space and closed geodesics on real projective spaces with odd dimensions ⋮ Isometry-invariant geodesics and the fundamental group

This page was built for publication: Closed geodesics and the fundamental group