ISSN:
1572-9060
Keywords:
Calabi–Yau
;
calibrations
;
coassociative
;
special Lagrangian
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Every closed, oriented, real analytic Riemannian3–manifold can be isometrically embedded as a specialLagrangian submanifold of a Calabi–Yau 3–fold, even as thereal locus of an antiholomorphic, isometric involution. Every closed,oriented, real analytic Riemannian 4–manifold whose bundle of self-dual2–forms is trivial can be isometrically embedded as a coassociativesubmanifold in a G2-manifold, even as the fixed locus of ananti-G2 involution. These results, when coupledwith McLean's analysis of the moduli spaces of such calibratedsubmanifolds, yield a plentiful supply of examples of compact calibratedsubmanifolds with nontrivial deformation spaces.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006780703789
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