Uniqueness results for special Lagrangians and Lagrangian mean curvature flow expanders in C^m

Yohsuke Imagi, Dominic Joyce, Joana Oliveira dos Santos

We prove two main results: (a) Suppose $L$ is a closed, embedded, exact special Lagrangian $m$-fold in ${\mathbb{C}}^m$ for $m\ge 3$ asymptotic at infinity to the union ${\Pi }_1\cup {\Pi }_2$…