In three dimensional Minkowski space, we show that a generalized helicoid is isometric to a rotation surface so that helices on the helicoid correspond to parallel circles on the rotation surface. Moreover, if these surfaces have the same Gauss map, we can determine them.
"Bour's Theorem in Minkowski Geometry." Tokyo J. Math. 24 (2) 377 - 394, December 2001. https://doi.org/10.3836/tjm/1255958182