Sigma Models, Minimal Surfaces and Some Ricci Flat Pseudo Riemannian Geometries
| dc.creator | Gurses, Metin | |
| dc.date | 2000-10-09 | |
| dc.date.accessioned | 2026-07-07T04:37:55Z | |
| dc.date.available | 2026-07-07T04:37:55Z | |
| dc.description | We consider the sigma models where the base metric is proportional to the metric of the configuration space. We show that the corresponding sigma model equation admits a Lax pair. We also show that this type of sigma models in two dimensions are intimately related to the minimal surfaces in a flat pseudo Riemannian 3-space. We define two dimensional surfaces conformally related to the minimal surfaces in flat three dimensional geometries which enable us to give a construction of the metrics of some even dimensional Ricci flat pseudo Riemannian geometries. | |
| dc.description | Latex file (amssymb), 12 pages. A talk presented (based on the work in Math.DG/0006041) in ``Geometry, Integrability, and Quantization'' July 7-15, 2000 Varna-Bulgaria | |
| dc.identifier | https://arxiv.org/abs/math/0010081 | |
| dc.identifier | http://arxiv.org/abs/math/0010081 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60082 | |
| dc.subject | Differential Geometry | |
| dc.title | Sigma Models, Minimal Surfaces and Some Ricci Flat Pseudo Riemannian Geometries | |
| dc.type | text |