Symplectic topology of Mañé's critical values

DOI10.2140/gt.2010.14.1765zbMath1239.53110arXiv0903.0700OpenAlexW3102064735MaRDI QIDQ986686

Kai Cieliebak, Gabriel P. Paternain, Urs Adrian Frauenfelder

Publication date: 11 August 2010

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0700

zbMATH Keywords

magnetic fieldstable Hamiltonian structureRabinowitz Floer homologyMañé's critical value

Mathematics Subject Classification ID

Symplectic aspects of Floer homology and cohomology (53D40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (41)

On the existence of infinitely many invariant Reeb orbits ⋮ Helicity and the Mañé critical value ⋮ Rabinowitz Floer Homology: A Survey ⋮ On the existence of Euler-Lagrange orbits satisfying the conormal boundary conditions ⋮ Künneth formula in Rabinowitz Floer homology ⋮ Rigid fibers of integrable systems on cotangent bundles ⋮ Computing the Rabinowitz Floer homology of tentacular hyperboloids ⋮ On the stability of Mañé critical hypersurfaces ⋮ Lectures on the free period Lagrangian action functional ⋮ Trace formula for the magnetic Laplacian on a compact hyperbolic surface ⋮ Periodic orbits of Tonelli Lagrangians with prescribed action or period ⋮ A Hamiltonian version of a result of Gromoll and Grove ⋮ Topological entropy of left-invariant magnetic flows on 2-step nilmanifolds ⋮ Floer theory and reduced cohomology on open manifolds ⋮ Lagrange multiplier functionals and their applications in symplectic geometry and string topology ⋮ Periodic orbits in virtually contact structures ⋮ Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds ⋮ Index computations in Rabinowitz Floer homology ⋮ On the Rabinowitz Floer homology of twisted cotangent bundles ⋮ Invariance of symplectic cohomology and twisted cotangent bundles over surfaces ⋮ Displacement energy of unit disk cotangent bundles ⋮ Periodic magnetic geodesics on Heisenberg manifolds ⋮ On the existence of periodic orbits for magnetic systems on the two-sphere ⋮ On the existence of closed magnetic geodesics via symplectic reduction ⋮ The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere ⋮ Bubbles and onis ⋮ Periodic orbits of convex Lagrangians and average energy ⋮ Existence of leafwise intersection points in the unrestricted case ⋮ Symplectic and contact properties of the Mañé critical value of the universal cover ⋮ The Lusternik–Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles ⋮ Floer homologies, with applications ⋮ Stability is not open ⋮ STABILITY OF ANOSOV HAMILTONIAN STRUCTURES ⋮ Periodic orbits of Lagrangian systems with prescribed action or period ⋮ Magnetic flows on sol-manifolds: Dynamical and symplectic aspects ⋮ Lagrangian Rabinowitz Floer homology and twisted cotangent bundles ⋮ Trace formula for the magnetic Laplacian ⋮ Continuation homomorphism in Rabinowitz Floer homology for symplectic deformations ⋮ The Palais-Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications ⋮ Contact geometry of the restricted three-body problem ⋮ Periodic orbits with prescribed abbreviated action

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