Deformations of Asymptotically Cylindrical Special Lagrangian Submanifolds with Fixed Boundary

Details Deformations of Asymptotically Cylindrical Special Lagrangian Submanifolds with Fixed Boundary Deformations of Asymptotically Cylindrical Special Lagrangian Submanifolds with Fixed Boundary

2009-02-03

arxiv.org/abs/0902.0565v1

Mathematics

Differential Geometry

16 pages, LaTex

Scientific paper

Given an asymptotically cylindrical special Lagrangian submanifold L in an asymptotically cylindrical Calabi-Yau 3-fold X, we determine conditions on a decay rate gamma which make the moduli space of (local) special Lagrangian deformations of L in X a smooth manifold and show that it has dimension equal to the dimension of the image of H^1_{cs}(L,R) in H^1(L,R) under the natural inclusion map.

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