Abstract.
We investigate helicoidal surfaces in Lorentz-Minkowski space . A purely geometric method is used for classifying the helicoidal maximal surfaces. This description consists on exposing helicoidal maximal surfaces as solutions to certain adequate Björling problems in , and shows that a maximal surface is helicoidal if and only if it lies in the associate family of a catenoid in . We shall also give characteristic properties of the catenoids and helicoids in .
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Mira, P., Pastor, J. Helicoidal Maximal Surfaces in Lorentz-Minkowski Space. Monatsh. Math. 140, 315–334 (2003). https://doi.org/10.1007/s00605-003-0111-9
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DOI: https://doi.org/10.1007/s00605-003-0111-9