Holomorphic cylinders with Lagrangian boundaries and Hamiltonian dynamics (Q1567174)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Holomorphic cylinders with Lagrangian boundaries and Hamiltonian dynamics |
scientific article; zbMATH DE number 1455499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Holomorphic cylinders with Lagrangian boundaries and Hamiltonian dynamics |
scientific article; zbMATH DE number 1455499 |
Statements
Holomorphic cylinders with Lagrangian boundaries and Hamiltonian dynamics (English)
0 references
26 November 2000
0 references
The main result of this paper relates the existence of a periodic orbit to a certain Hamiltonian flow, generated by a Hamiltonian whose differential is compactly supported. If this Hamiltonian is autonomous, separates the zero section and the section corresponding to the 1-form \(dt\) and has a compactly supported gradient, then it has a nonconstant closed orbit in each of a given homotopy class of loops.
0 references
holomorphic cylinders
0 references
periodic orbit
0 references
Hamiltonian flow
0 references
homotopy class
0 references
0 references
0 references
