Singly periodic maximal graphs with isolated singularities in Lorentz-Minkowski 3-space

TL;DR

This paper constructs singly periodic spacelike maximal surfaces with isolated singularities in Lorentz-Minkowski 3-space using a Weierstrass representation, extending minimal surface theory into a Lorentzian setting.

Contribution

It introduces a method to generate entire singly periodic maximal graphs with isolated singularities in Lorentz-Minkowski space, based on minimal surface techniques.

Findings

Constructed new examples of maximal graphs with isolated singularities.

Extended minimal surface methods to Lorentz-Minkowski 3-space.

Provided a framework for analyzing singularities in Lorentzian geometry.

Abstract

Utilizing the Weierstrass representation for embedded doubly periodic minimal surfaces with parallel ends, we construct entire singly periodic graphs of spacelike maximal surfaces with isolated cone-like singularities in the Lorentz-Minkowski 3-space.