Deformations of Special Lagrangian Submanifolds

Details Deformations of Special Lagrangian Submanifolds Deformations of Special Lagrangian Submanifolds

1999-06-08

arxiv.org/abs/math/9906048v4

Commun. Contemp. Math. 2 (2000), no. 3, 365--372

Mathematics

Differential Geometry

published version

Scientific paper

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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