Analytic Extension of a maximal surface in $\Bbb L^3$ along its boudary

TL;DR

This paper proves that maximal surfaces in Lorentz-Minkowski space can be analytically extended along their boundary when the boundary is in a plane intersecting the surface at a constant angle.

Contribution

It introduces conditions under which maximal surfaces in Lorentz-Minkowski space can be extended analytically along their boundary.

Findings

Maximal surfaces can be extended analytically along boundary planes meeting the surface at a constant angle.

The extension depends on the boundary lying in a specific plane with a constant intersection angle.

Provides a new method for extending maximal surfaces in Lorentz-Minkowski space.

Abstract

We prove that a maximal surface in Lorentz-Minkowski space $\Bbb L^3$ can be extended analytically along its boundary if the boundary lies in a plane meeting the surface at a constant angle.