Transformations of flat Lagrangian immersions and Egoroff nets

Chuu-Lian Terng, Erxiao Wang

We associate a natural $\lambda$-family ($\lambda \in \mathbb{R}\setminus \{0\}$) of flat Lagrangian immersions in $\C^n$ with non-degenerate normal bundle to any given one. We prove that the structu…