Integrable systems in projective differential geometry
| dc.creator | Ferapontov, E. V. | |
| dc.date | 1999-03-25 | |
| dc.date.accessioned | 2026-07-07T05:28:28Z | |
| dc.date.available | 2026-07-07T05:28:28Z | |
| dc.description | Some of the most important classes of surfaces in projective 3-space are reviewed: these are isothermally asymptotic surfaces, projectively applicable surfaces, surfaces of Jonas, projectively minimal surfaces, etc. It is demonstrated that the corresponding projective "Gauss-Codazzi" equations reduce to integrable systems which are quite familiar from the modern soliton theory and coincide with the stationary flows in the Davey-Stewartson and Kadomtsev-Petviashvili hierarchies, equations of the Toda lattice, etc. The corresponding Lax pairs can be obtained by inserting a spectral parameter in the equations of the Wilczynski moving frame. | |
| dc.identifier | https://arxiv.org/abs/math/9903150 | |
| dc.identifier | http://arxiv.org/abs/math/9903150 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78270 | |
| dc.subject | Differential Geometry | |
| dc.title | Integrable systems in projective differential geometry | |
| dc.type | text |