arXiv Analytics

Sign in

arXiv:math/9906048 [math.DG]AbstractReferencesReviewsResources

Deformations of Special Lagrangian Submanifolds

Sema Salur

Published 1999-06-08, updated 2006-01-05Version 4

R.C.McLean showed that the moduli space of nearby submanifolds of a smooth, compact, orientable special Lagrangian submanifold L in a Calabi-Yau manifold X is a smooth manifold and its tangent space at L is identified with the space of harmonic one forms on L. In this paper, we will extend this result from Calabi-Yau manifolds to the symplectic manifolds with non-integrable almost complex structure.

Comments: published version
Journal: Commun. Contemp. Math. 2 (2000), no. 3, 365--372
Categories: math.DG, math.SG
Related articles: Most relevant | Search more
arXiv:0705.4444 [math.DG] (Published 2007-05-30, updated 2009-03-11)
Deformations of asymptotically cylindrical G_2 manifolds
arXiv:math/0109031 [math.DG] (Published 2001-09-05, updated 2003-06-12)
Cohomology of groups of diffeomorphims related to the modules of differential operators on a smooth manifold
arXiv:0908.1941 [math.DG] (Published 2009-08-13, updated 2010-12-29)
Calabi-Yau manifolds with $B$-fields