Abstract
In this chapter, I define Lagrangian and special Lagrangian immersions in Cn. To begin with, I explain that Cn is the standardrealvector space endowed with a non degenerate alternated bilinear form (§I.1) and use this “symplectic structure” to define Lagrangian subspaces and immersions (§§I.2, I.3 and I.4). Later, I use the complex structure as well, to definespecialLagrangian immersions (§I.5)
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© 2003 Springer Basel AG
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Audin, M., da Silva, A.C., Lerman, E. (2003). Lagrangian and special Lagrangian immersions in Cn. 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_2
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DOI: https://doi.org/10.1007/978-3-0348-8071-8_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2167-3
Online ISBN: 978-3-0348-8071-8
eBook Packages: Springer Book Archive