journal-of-dynamical-systems-and-geometric-theories Journal of Dynamical Systems and Geometric Theories 2169-0057 1726-037X Taru Publications 10.1080/1726037X.2012.10698617 On the Bour’s Theorem with Respect to Conformal Map in Minkowski Space Bozkurt Zehra Department of Mathematics, University of Ankara, Ankara, Turkey Gök İsmail Department of Mathematics, University of Ankara, Ankara, Turkey Ekmekci F. Nejat Department of Mathematics, University of Ankara, Ankara, Turkey Uzunoğlu Beyhan Department of Mathematics, University of Ankara, Ankara, Turkey 10 2 149 172 03 06 2013

A generalized helicoid and a rotational surface have a isometric relation by Bour’s theorem. It is that ”A generalized helicoid is isometric to a rotational surface. Hence, helices on the helicoid correspond to parallel circles on the rotational surface under the isometric transformation.

 Bour’s theorem Gauss map minimal spiral surface rotational surface helicoid access open retracted no