On Razzaboni Transformation of Surfaces in Minkowski 3-Space
General Mathematics
2015-03-24 v1
Abstract
In this paper, we investigate the surfaces generated by binormal motion of Bertrand curves, which is called Razzaboni surface, in Minkowski 3-space. We discussed the geometric properties of these surfaces in M^3 according to the character of Bertrand geodesics. Then, we define the Razzaboni transformation for a given Razzaboni surface. In other words, we prove that there exists a dual of Razzaboni surface for each case. Finally, we show that Razzaboni transformation maps the surface M, which has Bertrand geodesics with constant curvature, to the surface M^* whose Bertrand geodesics also have constant curvature with opposite sign.
Keywords
Cite
@article{arxiv.1503.06446,
title = {On Razzaboni Transformation of Surfaces in Minkowski 3-Space},
author = {Melek Erdogdu and Mustafa Ozdemir},
journal= {arXiv preprint arXiv:1503.06446},
year = {2015}
}