Generalized Bour's theorem in Minkowski 3-space
Differential Geometry
2016-11-21 v2
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.
Cite
@article{arxiv.1502.05708,
title = {Generalized Bour's theorem in Minkowski 3-space},
author = {Erhan Güler and Yusuf Yaylı},
journal= {arXiv preprint arXiv:1502.05708},
year = {2016}
}
Comments
14 pages This paper has been withdrawn by the author due to a crucial error in some equations