Closed Reeb orbits on the sphere and symplectically degenerate maxima
From MaRDI portal
Publication:356533
DOI10.1007/s40306-012-0002-zzbMath1292.53057arXiv1210.5037OpenAlexW2964213397MaRDI QIDQ356533
Doris Hein, Leonardo Macarini, Viktor L. Ginzburg, Umberto L. Hryniewicz
Publication date: 26 July 2013
Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.5037
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (31)
Multiplicity of closed Reeb orbits on prequantization bundles ⋮ Dynamical implications of convexity beyond dynamical convexity ⋮ Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in \(\mathbb R^{2n}\) ⋮ A dichotomy result for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf{R}^{2n}\) ⋮ Lusternik-Schnirelmann theory and closed Reeb orbits ⋮ S1$S^1$‐equivariant contact homology for hypertight contact forms ⋮ Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond ⋮ Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ On the existence of supporting broken book decompositions for contact forms in dimension 3 ⋮ Index iteration theories for periodic orbits: old and new ⋮ Dynamical systems. Abstracts from the workshop held July 11--17, 2021 (hybrid meeting) ⋮ Generalized periodic orbits of the time-periodically forced Kepler problem accumulating at the center and of circular and elliptic restricted three-body problems ⋮ EQUIVARIANT SYMPLECTIC HOMOLOGY AND MULTIPLE CLOSED REEB ORBITS ⋮ The Conley conjecture and beyond ⋮ On the minimal number of periodic orbits on some hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ Multiplicity of periodic orbits for dynamically convex contact forms ⋮ Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in \(\mathbf{R}^{4}\) ⋮ Perfect Reeb flows and action-index relations ⋮ Periodic Reeb orbits on prequantization bundles ⋮ Resonance identities for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf R^{2n}\) ⋮ Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces ⋮ Dynamical convexity and closed orbits on symmetric spheres ⋮ Two closed orbits for non-degenerate Reeb flows ⋮ On the filtered symplectic homology of prequantization bundles ⋮ On the relation between action and linking ⋮ Magnetic Katok examples on the two-sphere ⋮ Transversality for local Morse homology with symmetries and applications ⋮ Local contact homology and applications ⋮ Iterated index and the mean Euler characteristic ⋮ On the Conley conjecture for Reeb flows ⋮ The existence of two closed characteristics on every compact star-shaped hypersurface in \(\mathbb{R}^{4}\)
Cites Work
- On primes and period growth for Hamiltonian diffeomorphisms
- The Conley conjecture for irrational symplectic manifolds
- The Conley conjecture
- The Conley conjecture for the cotangent bundle
- Local Floer homology and infinitely many simple Reeb orbits
- Local Floer homology and the action gap
- Subharmonic solutions of Hamiltonian equations on tori
- Action and index spectra and periodic orbits in Hamiltonian dynamics
- Geometry of contact transformations and domains: orderability versus squeezing
- Sc-smoothness, retractions and new models for smooth spaces
- Fredholm theory and transversality for the parametrized and for the \(S^{1}\)-invariant symplectic action
- The Weinstein conjecture for stable Hamiltonian structures
- Convex Hamiltonian energy surfaces and their periodic trajectories
- Geodesics on \(S^ 2\) and periodic points of annulus homeomorphisms
- Shortening embedded curves
- The dynamics on three-dimensional strictly convex energy surfaces
- Floer homology and Arnold conjecture
- Arnold conjecture and Gromov-Witten invariant
- Unknotted periodic orbits for Reeb flows on the three-sphere
- Finite energy foliations of tight three-spheres and Hamiltonian dynamics
- Propagation in Hamiltonian dynamics and relative symplectic homology
- Index theory for symplectic paths with applications
- Relative Hofer-Zehnder capacity and periodic orbits in twisted cotangent bundles
- Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants
- Functors and computations in Floer homology with applications. I
- A Poincaré-Birkhoff theorem for tight Reeb flows on \(S^3\)
- Floer homology in disk bundles and symplectically twisted geodesic flows
- Coisotropic intersections
- THE GYSIN EXACT SEQUENCE FOR S1-EQUIVARIANT SYMPLECTIC HOMOLOGY
- On the mean Euler characteristic of contact manifolds
- Rabinowitz Floer homology and symplectic homology
- Homological Resonances for Hamiltonian Diffeomorphisms and Reeb Flows
- LEAF-WISE INTERSECTIONS AND RABINOWITZ FLOER HOMOLOGY
- Morse theory for periodic solutions of hamiltonian systems and the maslov index
- On the lengths of closed geodesics on a two-sphere
- Lectures on Morse theory, old and new
- A symplectic proof of a theorem of Franks
- Local contact homology and applications
- ON THE EXISTENCE OF CLOSED GEODESICS ON TWO-SPHERES
- First Steps Towards a Symplectic Dynamics
- Riemannian geometry and geometric analysis
- From one Reeb orbit to two
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Closed Reeb orbits on the sphere and symplectically degenerate maxima