Some Characterizations of Mannheim Partner Curves in Minkowski 3-space
Differential Geometry
2011-08-24 v1
Abstract
In this paper, we give the characterizations of Mannheim Partner Curves in Minkowski 3-space . Firstly, we classify these curves in . Next, we give some relationships characterizing these curves and we show that Mannheim theorem is not valid for Mannheim partner curves in . Moreover, by considering the spherical indicatrix of the Fr\'enet vectors of those curves, we obtain some new relationships between the curvatures and torsions of the Mannheim partner curves in .
Keywords
Cite
@article{arxiv.1108.4570,
title = {Some Characterizations of Mannheim Partner Curves in Minkowski 3-space},
author = {Tanju Kahraman and Mehmet Önder and Mustafa Kazaz and H. Hüseyin Uğurlu},
journal= {arXiv preprint arXiv:1108.4570},
year = {2011}
}
Comments
11 pages, 2 figures