Calibrated Fibrations
| dc.creator | Goldstein, Edward | |
| dc.date | 1999-11-13 | |
| dc.date | 2000-08-03 | |
| dc.date.accessioned | 2026-07-07T05:31:35Z | |
| dc.date.available | 2026-07-07T05:31:35Z | |
| dc.description | In this paper we investigate the geometry of Calibrated submanifolds and study relations between their moduli-space and geometry of the ambient manifold. In particular for a Calabi-Yau manifold we define Special Lagrangian submanifolds for any Kahler metric on it. We show that for a choice of Kahler metric the Borcea-Voisin threefold has a fibration structure with generic fiber being a Special Lagrangian torus. Moreover we construct a mirror to this fibration. Also for any closed G_2 form on a 7-manifold we study coassociative submanifolds and we show that one example of a G_2 manifold constructed by Joyce in [10] is a fibration with generic fiber being a coassociative 4-torus. Similarly we construct a mirror to this fibration. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/9911093 | |
| dc.identifier | http://arxiv.org/abs/math/9911093 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79397 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53XX | |
| dc.title | Calibrated Fibrations | |
| dc.type | text |