Lagrangian and special Lagrangian immersions in Cn
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)
KeywordsWave Front Poisson Bracket Symplectic Form Symplectic Group Lagrangian Submanifolds
Unable to display preview. Download preview PDF.