The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space $ł^3$

Fernandez, Isabel; Lopez, Francisco J.; Souam, Rabah

The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space $ł^3$

Authors

Fernandez, Isabel

Lopez, Francisco J.

Souam, Rabah

Description

We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces in the Lorentz-Minkowski space $ł^3=(\r^3,dx_1^2+dx_2^2-dx_3^2),$ with fundamental piece having a finite number $(n+1)$ of singularities, is a real analytic manifold of dimension $3n+4.$ The underlying topology agrees with the topology of uniform convergence of graphs on compact subsets of $\{x_3=0\}.$
26 pages, 4 figures