Isometry-invariant geodesics
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Publication:1847102
DOI10.1016/0040-9383(74)90021-4zbMath0289.58007OpenAlexW2052379705MaRDI QIDQ1847102
Publication date: 1974
Published in: Topology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0040-9383(74)90021-4
Homotopy groups, general; sets of homotopy classes (55Q05) Global Riemannian geometry, including pinching (53C20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)
Related Items (24)
On Lagrangian and Hamiltonian systems with homogeneous trajectories ⋮ On the existence of infinitely many invariant Reeb orbits ⋮ Non-closed isometry-invariant geodesics ⋮ Note on isometry invariant geodesic on two dimensional spherical manifold ⋮ On the number of invariant closed geodesics ⋮ Metrics with only finitely many isometry invariant geodesics ⋮ Isometry-invariant geodesics on spheres ⋮ On the multiplicity of isometry-invariant geodesics on product manifolds ⋮ The rational homotopy theory of certain path spaces with applications to geodesics ⋮ Rational homotopy equivalences of Lie type ⋮ On homogeneous geodesics and weakly symmetric spaces ⋮ Isometry-invariant geodesics and the fundamental group. II. ⋮ On invariant closed geodesics under isometries ⋮ Isometry invariant closed geodesic on a nonpositively curved manifold ⋮ Horospheres and the stable part of the geodesic flow ⋮ Invariant closed geodesics under isometries of prime power order ⋮ On the number of invariant closed geodesics ⋮ Unnamed Item ⋮ Splitting lemmas for the Finsler energy functional on the space ofH1-curves ⋮ Contributions of rational homotopy theory to global problems in geometry ⋮ On some types of geodesics on Riemannian manifolds ⋮ Elliptic isometries, condition (C) and proper maps ⋮ Rigidity properties of compact Lie groups modulo maximal tori ⋮ Isometry-invariant geodesics and the fundamental group
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