Subharmonic solutions of Hamiltonian equations on tori

DOI10.4007/annals.2009.170.529zbMath1180.58009OpenAlexW2088237952WikidataQ96808284 ScholiaQ96808284MaRDI QIDQ731191

Nancy Hingston

Publication date: 2 October 2009

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: http://annals.princeton.edu/annals/2009/170-2/p02.xhtml

zbMATH Keywords

Hamiltoniansubharmonic solutionArnold Conjecturetopologically degenerate critical point

Mathematics Subject Classification ID

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Cites Work

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• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• Subharmonic solutions and Morse theory
• Proof of the Arnold conjecture for surfaces and generalizations to certain Kähler manifolds
• Closed geodesics on complete surfaces
• Bott formula of the Maslov-type index theory
• Infinite dimensional Morse theory and multiple solution problems
• Index theory for symplectic paths with applications
• On differentiable functions with isolated critical points
• On the iteration of closed geodesics and the sturm intersection theory
• On subharmonic solutions of hamiltonian systems
• Morse theory for periodic solutions of hamiltonian systems and the maslov index
• On the lengths of closed geodesics on a two-sphere
• Corrigenda to: Introduction to Symplectic Topology

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