Two closed orbits for non-degenerate Reeb flows
From MaRDI portal
Publication:4958701
DOI10.1017/S0305004120000018zbMath1480.53094arXiv1903.06523MaRDI QIDQ4958701
Jungsoo Kang, Leonardo Macarini, Miguel Abreu, Jean Gutt
Publication date: 14 September 2021
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.06523
Global theory of symplectic and contact manifolds (53D35) Contact manifolds (general theory) (53D10) Contact systems (37J55) Symplectic and canonical mappings (37J11)
Related Items (4)
Relative Hofer-Zehnder capacity and positive symplectic homology ⋮ The second closed geodesic, the fundamental group, and generic Finsler metrics ⋮ Two short closed geodesics on a sphere of odd dimension ⋮ Contact invariants of \(\mathbb{Q}\)-Gorenstein toric contact manifolds, the Ehrhart polynomial and Chen-Ruan cohomology
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The existence of two closed characteristics on every compact star-shaped hypersurface in \(\mathbb{R}^{4}\)
- Reeb orbits and the minimal discrepancy of an isolated singularity
- Closed Reeb orbits on the sphere and symplectically degenerate maxima
- On the minimal number of periodic orbits on some hypersurfaces in \(\mathbb{R}^{2n}\)
- The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds
- Multiplicity of periodic orbits for dynamically convex contact forms
- The type numbers of closed geodesics
- Local Floer homology and infinitely many simple Reeb orbits
- Deformations of symplectic cohomology and exact Lagrangians in ALE spaces
- Fredholm theory and transversality for the parametrized and for the \(S^{1}\)-invariant symplectic action
- On the average indices of closed geodesics
- The homology theory of the closed geodesic problem
- Lagrangian embeddings into subcritical Stein manifolds
- Multiplicity of closed Reeb orbits on prequantization bundles
- Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\)
- Symplectic homology and the Eilenberg-Steenrod axioms
- Displaceability and the mean Euler characteristic
- Equivariant symplectic homology of Anosov contact structures
- Functors and computations in Floer homology with applications. I
- Lusternik-Schnirelmann theory and closed Reeb orbits
- Perfect Reeb flows and action-index relations
- Symplectically knotted codimension-zero embeddings of domains in \(\mathbb{R}^4\)
- Contact toric manifolds
- The index of Floer moduli problems for parametrized action functionals
- The Seiberg-Witten equations and the Weinstein conjecture
- Periodic geodesics on compact Riemannian manifolds
- The existence of two closed geodesics on every Finsler 2-sphere
- Brieskorn manifolds in contact topology
- THE GYSIN EXACT SEQUENCE FOR S1-EQUIVARIANT SYMPLECTIC HOMOLOGY
- On the mean Euler characteristic of contact manifolds
- Contact homology of good toric contact manifolds
- The role of string topology in symplectic field theory
- S1-Equivariant Symplectic Homology and Linearized Contact Homology
- A quick proof of the rational Hurewicz theorem and a computation of the rational homotopy groups of spheres
- On the filtered symplectic homology of prequantization bundles
- Invariance of symplectic cohomology and twisted cotangent bundles over surfaces
- Local contact homology and applications
- On the Conley conjecture for Reeb flows
- Symplectic cohomology and Viterbo's theorem
- EQUIVARIANT SYMPLECTIC HOMOLOGY AND MULTIPLE CLOSED REEB ORBITS
- Topological quantum field theory structure on symplectic cohomology
- The Lusternik–Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles
- From one Reeb orbit to two
This page was built for publication: Two closed orbits for non-degenerate Reeb flows