Helicoidal surfaces with H2 = K in Minkowski 3-space

In this paper, we prove that any helicoidal surface with H2 = K in Minkowski 3-space is locally a generalized umbilical surface, i.e., a surface with the shape operator having the minimal polynomial (x − a)2, where a is constant. We also give the representation formulas for these helicoidal surfaces. © 2006 Elsevier Inc. All rights reserved