A Liouville-Weierstrass correspondence for Spacelike and Timelike Minimal Surfaces in ${\mathbb{L}}^3$

Adriana A. Cintra, Iury Domingos, Irene I. Onnis

We investigate a correspondence between solutions $\lambda (x,y)$ of the Liouville equation \[ Δλ= -\varepsilon e^{-4λ}, \] and the Weierstrass representations of spacelike ($\varepsilon…