English

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

Differential Geometry 2007-05-23 v1

Abstract

We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces in the Lorentz-Minkowski space \l^3=(\r^3,dx_1^2+dx_2^2-dx_3^2), with fundamental piece having a finite number (n+1)(n+1) of singularities, is a real analytic manifold of dimension 3n+4.3n+4. The underlying topology agrees with the topology of uniform convergence of graphs on compact subsets of {x3=0}.\{x_3=0\}.

Keywords

Cite

@article{arxiv.math/0412190,
  title  = {The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space $\l^3$},
  author = {Isabel Fernandez and Francisco J. Lopez and Rabah Souam},
  journal= {arXiv preprint arXiv:math/0412190},
  year   = {2007}
}

Comments

26 pages, 4 figures