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In mathematics, the Weinstein conjecture refers to a general existence problem for periodic orbits of Hamiltonian or Reeb vector flows. More specifically, the conjecture claims that on a compact contact manifold, its Reeb vector field should carry at least one periodic orbit.
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contact conjecture weinstein level hamiltonian reeb manifold set vector orbit symplectic periodic field existence hofer type admits form flow manifolds
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Weinstein conjecture | is a | statement about contact manifolds.It has been known that any contact form is isotopic to a form that admits a closed Reeb orbit | 0.90 | text |
| Weinstein conjecture | related to Further reading | Ginzburg | 0.60 | section |
| Weinstein conjecture | related to Further reading | The Weinstein | 0.60 | section |
| Weinstein conjecture | related to Further reading | Hutchings | 0.60 | section |
| Weinstein conjecture | related to Further reading | Taubes's | 0.60 | section |
| Weinstein conjecture | related to Further reading | Weinstein | 0.60 | section |
| Weinstein conjecture | related to Further reading | 0.60 | section | |
| Weinstein conjecture | related to Further reading | Bulletin | 0.60 | section |
| Weinstein conjecture | related to Further reading | American Mathematical Society | 0.60 | section |
| Weinstein conjecture | related to Further reading | CiteSeerX | 0.60 | section |
| Weinstein conjecture | related to Further reading | S0273-0979-09-01282-8 | 0.60 | section |
| Weinstein conjecture | related to Further reading | MR | 0.60 | section |
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