Hamiltonian stationary Lagrangian surfaces in Hermitian symmetric spaces
| dc.creator | Helein, Frederic | |
| dc.creator | Romon, Pascal | |
| dc.date | 2000-10-25 | |
| dc.date.accessioned | 2026-07-07T04:38:13Z | |
| dc.date.available | 2026-07-07T04:38:13Z | |
| dc.description | This paper is the third of a series on Hamiltonian stationary Lagrangian surfaces. We present here the most general theory, valid for any Hermitian symmetric target space. Using well-chosen moving frame formalism, we show that the equations are equivalent to an integrable system, generalizing the C^2 subcase analyzed in the first article (arXiv:math.DG/0009202). This system shares many features with the harmonic map equation of surfaces into symmetric spaces, allowing us to develop a theory close to Dorfmeister, Pedit and Wu's, including for instance a Weierstrass-type representation. Notice that this article encompasses the article mentioned above, although much fewer details will be given on that particular flat case. | |
| dc.identifier | https://arxiv.org/abs/math/0010231 | |
| dc.identifier | http://arxiv.org/abs/math/0010231 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60195 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C55 (Primary), 53C42, 53C25, 58E12 (Secondary) | |
| dc.title | Hamiltonian stationary Lagrangian surfaces in Hermitian symmetric spaces | |
| dc.type | text |