Special Lagrangian m-folds in C^m with symmetries
| dc.creator | Joyce, Dominic | |
| dc.date | 2000-08-02 | |
| dc.date | 2001-07-31 | |
| dc.date.accessioned | 2026-07-07T04:36:38Z | |
| dc.date.available | 2026-07-07T04:36:38Z | |
| dc.description | This is the first in a series of papers on special Lagrangian submanifolds in C^m. We study special Lagrangian submanifolds in C^m with large symmetry groups, and give a number of explicit constructions. Our main results concern special Lagrangian cones in C^m invariant under a subgroup G in SU(m) isomorphic to U(1)^{m-2}. By writing the special Lagrangian equation as an o.d.e. in G-orbits and solving the o.d.e., we find a large family of distinct, G-invariant special Lagrangian cones on T^{m-1} in C^m. These examples are interesting as local models for singularities of special Lagrangian submanifolds of Calabi-Yau manifolds. Such models will be needed to understand Mirror Symmetry and the SYZ conjecture. | |
| dc.description | 44 pages, LaTeX; (v4) minor corrections and improvements | |
| dc.identifier | https://arxiv.org/abs/math/0008021 | |
| dc.identifier | http://arxiv.org/abs/math/0008021 | |
| dc.identifier | Duke Mathematical Journal 115 (2002), 1-51. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59669 | |
| dc.subject | Differential Geometry | |
| dc.title | Special Lagrangian m-folds in C^m with symmetries | |
| dc.type | text |