Classification of compact Lagrangian self-similar submanifolds with Legendrian capillary boundary in the unit ball

Dong Gao, Yong Luo, Hui Ma +1

We classify smooth compact connected Lagrangian immersions $X$ in the closed unit ball of $\C^n$, $n\ge 2$, satisfying $H+\epsilon X^{\perp }=0$, $\epsilon \in \{-1,0,1\}$, with Le…