The Lagrangian Conley conjecture

DOI10.4171/CMH/222zbMath1209.37067arXiv0810.2108OpenAlexW3103251567WikidataQ122978814 ScholiaQ122978814MaRDI QIDQ620544

Marco Mazzucchelli

Publication date: 19 January 2011

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2108

zbMATH Keywords

periodic orbitsMorse theoryLagrangian dynamicsConley conjectureTonelli LagrangianTonelli Hamiltonian

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Lagrangian submanifolds; Maslov index (53D12) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (10)

The Conley conjecture ⋮ On the multiplicity of isometry-invariant geodesics on product manifolds ⋮ Periodic orbits of Tonelli Lagrangians with prescribed action or period ⋮ Floer homology for magnetic fields with at most linear growth on the universal cover ⋮ The Conley conjecture for the cotangent bundle ⋮ Symplectically degenerate maxima via generating functions ⋮ Corrigendum to ``The Conley conjecture for Hamiltonian systems on the cotangent bundle and its analogue for Lagrangian systems ⋮ The Conley conjecture and beyond ⋮ On Tonelli periodic orbits with low energy on surfaces ⋮ Periodic orbits of Lagrangian systems with prescribed action or period

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