The Weinstein conjecture and theorems of nearby and almost existence
By V. Ginzburg. 2003
50 citations recorded by the source corpus.
The Weinstein conjecture, as the general existence problem for periodic orbits of Hamiltonian or Reeb flows, has been among the central questions in symplectic topology for over two decades and its investigation has led to understanding some fundamental properties of Hamiltonian flows.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/bf1e561816dc0e402dda785692beb109931faa87
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In Geometry and Topology
- Basak Z. Gurel
- V. Ginzburg
- Urs Frauenfelder
- F. Schlenk
- Michael Usher
- Sheila Sandon
- Kai Cieliebak
- L. Polterovich
In Mathematical Physics
- V. Ginzburg
- Basak Z. Gurel
- Urs Frauenfelder
- F. Schlenk
- Michael Usher
- Kai Cieliebak
- Sheila Sandon
- A. Oancea
Citations in the corpus
- Quantitative symplectic geometry (2005, unknown): “Ginzburg [35] presents an example of a smooth family of hypersurfaces (St) (albeit not in R ) for which the function t 7→ cHZ(Ut) is not smoother than 1/2-Hölder continuous.”
- Applications of Hofer's geometry to Hamiltonian dynamics (2003, background): “is known for every subset A of a weakly exact symplectic manifold (V , ω) which is closed or convex ([22], [53], [12], [16], [11]).”
- Action and index spectra and periodic orbits in Hamiltonian dynamics (2008, background): “(Applications of action selectors extend far beyond the scope of our discussion here; see, eg, Frauenfelder and Schlenk [19], Entov and Polterovich [10; 9], Ginzburg [21], Gürel [29], Hofer and Zehnder [34], McDuff and Salamon [42],”