Deformations of Special Lagrangian Submanifolds
Differential Geometry
2007-05-23 v4 Symplectic Geometry
Abstract
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.
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Cite
@article{arxiv.math/9906048,
title = {Deformations of Special Lagrangian Submanifolds},
author = {Sema Salur},
journal= {arXiv preprint arXiv:math/9906048},
year = {2007}
}
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published version