Finite energy surfaces and the chord problem

DOI10.1215/S0012-7094-99-09608-4zbMath0953.53049MaRDI QIDQ1974885

Casim Abbas

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

contact formReeb vector fieldcharacteristic chordfinite energy half-plane

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Global theory of symplectic and contact manifolds (53D35) Contact manifolds (general theory) (53D10) Qualitative properties of solutions to partial differential equations (35B99)

Related Items

Pseudoholomorphic strips in symplectisations. I: Asymptotic behavior, ON ITERATED TRANSLATED POINTS FOR CONTACTOMORPHISMS OF ℝ²ⁿ⁺¹ AND ℝ²ⁿ × S¹, Legendrian contact homology and topological entropy, Topological entropy for Reeb vector fields in dimension three via open book decompositions, Asymptotic behaviour of holomorphic strips, Reeb orbits that force topological entropy

Cites Work

• Pseudo holomorphic curves in symplectic manifolds
• Lusternik-Schnirelman-theory for Lagrangian intersections
• Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
• Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics
• A general Fredholm theory. I: A splicing-based differential geometry
• First steps in symplectic topology
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