Let $R^{1,2}$ be the Minkowski 3-space, I would like to know any references about minimal (maximal) orientable Lorentzian surfaces in $\mathbb{R}^{1,2}$, including examples and maybe general theories, say something like Weierstrass representation. Here by minimal (maximal) I simply mean that the Lorentzian surface, as a submanifold of $\mathbb{R}^{1,2}$, has mean curvature 0.


Grazie!



Reference request: minimal (maximal) Lorentzian surfaces in $\mathbb{R}^{1,2}$
These two books might be useful:


<http://books.google.be/books/about/An_Introduction_to_Lorentz_Surfaces.html?id=1S_YJ39DSdcC&redir_esc=y>


<http://www.worldscientific.com/worldscibooks/10.1142/7542>


(the Weierstrass representation is treated in detail in the second one)


