paper

Generalized Bour's theorem in Minkowski 3-space

arXiv:1502.05708

Abstract

We obtain isometric minimal helicoidal and rotational surfaces using generalized Bour's theorem in three dimensional Minkowski space. In addition, we show that the surfaces preserve minimality when their Gauss maps identically equal, choosing any diffentiable functions on the profile curve.

14 pages This paper has been withdrawn by the author due to a crucial error in some equations