Differential Geometry and Integrability of the Hamiltonian System of a Closed Vortex Filament
| dc.creator | Sasaki, Norihito | |
| dc.date | 1995-10-24 | |
| dc.date | 1996-03-29 | |
| dc.date.accessioned | 2026-07-07T09:04:08Z | |
| dc.date.available | 2026-07-07T09:04:08Z | |
| dc.description | The system of a closed vortex filament is an integrable Hamiltonian one, namely, a Hamiltonian system with an infinite sequense of constants of motion in involution. An algebraic framework is given for the aim of describing differential geometry of this system. A geometrical structure related to the integrability of this system is revealed. It is not a bi-Hamiltonian structure but similar one. As a related topic, a remark on the inspection of J.Langer and R.Perline, J.Nonlinear Sci.1, 71 (1991), is given. | |
| dc.description | Title is changed ('a' is added). A mistake (absence of stating F-linearity condition of a skew-adjoint op., Sect.4) is corrected. One reference is added. The other changes are minor. 12 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/9510172 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9510172 | |
| dc.identifier | Lett.Math.Phys. 39 (1997) 229-241 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149268 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Differential Geometry and Integrability of the Hamiltonian System of a Closed Vortex Filament | |
| dc.type | text |