The uniqueness of the helicoid in the Lorentz-Minkowski space L3

Abstract

In this paper we deal with the uniqueness of the Lorentzian helicoid and Enneper's surface among properly embedded maximal surfaces with lightlike boundary of mirror symmetry in the Lorentz-Minkowski space L3.

Corrected gap in the proof of former Corollary 5.1

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• The number of conformally equivalent maximal graphs