Abstract
In order to deform a Lagrangian submanifold in Cn, we must understand how a tubular neighbourhood looks like. We prove here that a Lagrangian submanifold has a neighbourhood which is diffeomorphic to a neighbourhood of the zero section in its cotangent bundle. To be precise and explicit, we need to define a symplectic structure on the cotangent bundles and more generally to say what a symplectic structure on a manifold is
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Audin, M., da Silva, A.C., Lerman, E. (2003). Lagrangian and special Lagrangian submanifolds in Symplectic and Calabi-Yau manifolds. In: Symplectic Geometry of Integrable Hamiltonian Systems. Advanced Courses in Mathematics CRM Barcelona. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8071-8_3
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DOI: https://doi.org/10.1007/978-3-0348-8071-8_3
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