Calibrated Embeddings in the Special Lagrangian and Coassociative Cases
| dc.contributor.author | Bryant, RL | |
| dc.date.accessioned | 2016-08-25T20:09:05Z | |
| dc.date.issued | 2000-12-01 | |
| dc.description.abstract | 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 G2-manifold, even as the fixed locus of an anti-G2 involution. These results, when coupled with McLean's analysis of the moduli spaces of such calibrated sub-manifolds, yield a plentiful supply of examples of compact calibrated submanifolds with nontrivial deformation spaces. | |
| dc.identifier.issn | 0232-704X | |
| dc.identifier.uri | ||
| dc.publisher | Springer Science and Business Media LLC | |
| dc.relation.ispartof | Annals of Global Analysis and Geometry | |
| dc.title | Calibrated Embeddings in the Special Lagrangian and Coassociative Cases | |
| dc.type | Journal article | |
| duke.contributor.orcid | Bryant, RL|0000-0002-4890-2471 | |
| pubs.begin-page | 405 | |
| pubs.end-page | 435 | |
| pubs.issue | 3-4 | |
| pubs.organisational-group | Duke | |
| pubs.organisational-group | Mathematics | |
| pubs.organisational-group | Trinity College of Arts & Sciences | |
| pubs.publication-status | Published | |
| pubs.volume | 18 |
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