Reeb flows, pseudo-holomorphic curves and transverse foliations
DOI10.1007/s40863-022-00285-0OpenAlexW4213166324WikidataQ121766645 ScholiaQ121766645MaRDI QIDQ2082038
Naiara V. de Paulo, Pedro A. S. Salomão
Publication date: 30 September 2022
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40863-022-00285-0
Symplectic manifolds (general theory) (53D05) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Celestial mechanics (70F15) Pseudoholomorphic curves (32Q65) Symplectic and canonical mappings (37J11) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Cites Work
- Unnamed Item
- Elliptic bindings for dynamically convex Reeb flows on the real projective three-space
- On the existence of disk-like global sections for Reeb flows on the tight 3-sphere
- Connected sums and finite energy foliations. I: Contact connected sums
- Open book decompositions and stable Hamiltonian structures
- Global surfaces of section in non-regular convex energy levels of Hamiltonian systems
- The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
- Pseudo holomorphic curves in symplectic manifolds
- Morse theory for Lagrangian intersections
- The dynamics on three-dimensional strictly convex energy surfaces
- Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
- Area preserving homeomorphisms of open surfaces of genus zero
- Finite energy foliations of tight three-spheres and Hamiltonian dynamics
- Compactness results in symplectic field theory
- Convex energy levels of Hamiltonian systems
- On a convex embedding of the Euler problem of two fixed centers
- Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics
- Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants
- A characterisation of the tight three-sphere
- Global surfaces of Section with positive genus for dynamically convex Reeb flows
- Automatic transversality and orbifolds of punctured holomorphic curves in dimension four
- A Reeb flow on the three-sphere without a disk-like global surface of Section
- Systems of global surfaces of section for dynamically convex Reeb flows on the 3-sphere
- Finite-energy pseudoholomorphic planes with multiple asymptotic limits
- Finite energy foliations on overtwisted contact manifolds
- The Conley-Zehnder index and the saddle-center equilibrium
- A dynamical characterization of universally tight lens spaces
- Contact geometry of the restricted three-body problem
- A characterization of the tight 3-sphere II
- Systems of Transversal Sections near Critical Energy Levels of Hamiltonian Systems in ℝ⁴
- An Introduction to Compactness Results in Symplectic Field Theory
- Global surfaces of section for dynamically convex Reeb flows on lens spaces
- On the multiplicity of periodic orbits and homoclinics near critical energy levels of Hamiltonian systems in $\mathbb {R}^4$
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