Calibrated embeddings in the special Lagrangian and coassociative cases
| dc.creator | Bryant, Robert L. | |
| dc.date | 1999-12-31 | |
| dc.date | 2000-01-02 | |
| dc.date.accessioned | 2026-07-07T05:32:35Z | |
| dc.date.available | 2026-07-07T05:32:35Z | |
| dc.description | Every closed, oriented, real analytic Riemannian 3-manifold can be isometrically embedded as a special Lagrangian submanifold of a Calabi-Yau 3-fold, even as the real locus of an antiholomorphic, isometric involution. Every closed, oriented, real analytic Riemannian 4-manifold whose bundle of self-dual 2-forms is trivial can be isometrically embedded as a coassociative submanifold in a G_2-manifold, even as the fixed locus of an anti-G_2 involution. These results, when coupled with McLean's analysis of the moduli spaces of such calibrated submanifolds, yield a plentiful supply of examples of compact calibrated submanifolds with nontrivial deformation spaces. | |
| dc.description | AMS-TeX v. 2.1, 26 pages, uses amsppt.sty (2.1h), minor typos corrected | |
| dc.identifier | https://arxiv.org/abs/math/9912246 | |
| dc.identifier | http://arxiv.org/abs/math/9912246 | |
| dc.identifier | Annals of Global Analysis and Geometry 18 (2000), pp. 405-435. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79707 | |
| dc.subject | Differential Geometry | |
| dc.subject | Metric Geometry | |
| dc.subject | 53C25 (Primary), 58A15 (Secondary) | |
| dc.title | Calibrated embeddings in the special Lagrangian and coassociative cases | |
| dc.type | text |