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Deformations of Special Lagrangian Submanifolds

Sema Salur
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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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Sema Salur. 2006-01-05. Deformations of Special Lagrangian Submanifolds. https://arxiv.org/abs/math/9906048

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