Geodesics in Finsler geometry

DOI10.1090/TRANS2/109/13zbMath0368.53045OpenAlexW4240268430MaRDI QIDQ4144432

D. V. Anosov

Publication date: 1977

Published in: Twenty Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/trans2/109/13

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Dynamical systems with hyperbolic behavior (37D99)

Related Items (16)

Multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics ⋮ The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form ⋮ 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 \(S^{2n+1}/ \Gamma \) ⋮ Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics ⋮ Index iteration theories for periodic orbits: old and new ⋮ On a conjecture of Anosov ⋮ Unnamed Item ⋮ Geometry of the Katok examples ⋮ Multiplicity and stability of closed geodesics on Finsler 2-spheres ⋮ The index growth and multiplicity of closed geodesics ⋮ The Fadell-Rabinowitz index and multiplicity of non-contractible closed geodesics on Finsler \(\mathbb{R} P^n\) ⋮ Multiple closed geodesics on 3-spheres ⋮ The non-contractibility of closed geodesics on Finsler \(\mathbb{R} P^n\) ⋮ A review of the index method in closed geodesic problem

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