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.Comment: AMS-TeX v. 2.1, 26 pages, uses amsppt.sty (2.1h), minor typos
correcte
