Calibrated embeddings in the special Lagrangian and coassociative cases

dc.contributor.author

Bryant, RL

dc.date.accessioned

2016-08-25T20:17:46Z

dc.date.issued

2000

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 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.identifier.uri

https://hdl.handle.net/10161/12699

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.notes

Special issue in memory of Alfred Gray (1939--1998)

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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