Geometric Interpretation of Second Elliptic Integrable System
| dc.creator | Khemar, Idrisse | |
| dc.date | 2008-03-23 | |
| dc.date | 2009-04-09 | |
| dc.date.accessioned | 2026-07-07T13:01:27Z | |
| dc.date.available | 2026-07-07T13:01:27Z | |
| dc.description | In this paper we give a geometrical interpretation of all the second elliptic integrable systems associated to 4-symmetric spaces. We first show that a 4-symmetric space $G/G_0$ can be embedded into the twistor space of the corresponding symmetric space $G/H$. Then we prove that the second elliptic system is equivalent to the vertical harmonicity of an admissible twistor lift $J$ taking values in $G/G_0 \hookrightarrow Σ(G/H)$. We begin the paper by an example: $G/H=\R^4$. We study also the structure of 4-symmetric bundles over Riemannian symmetric spaces. | |
| dc.identifier | https://arxiv.org/abs/0803.3341 | |
| dc.identifier | http://arxiv.org/abs/0803.3341 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226154 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A, 53C, 35J | |
| dc.title | Geometric Interpretation of Second Elliptic Integrable System | |
| dc.type | text |