On the Developable Mannheim Offsets of Timelike Ruled Surfaces
Differential Geometry
2013-05-28 v6 Mathematical Physics
math.MP
Abstract
In this paper, using the classifications of timelike and spacelike ruled surfaces, we study the Mannheim offsets of timelike ruled surfaces in Minkowski 3-space. Firstly, we define the Mannheim offsets of a timelike ruled surface by considering the Lorentzian casual character of the offset surface. We obtain that the Mannheim offsets of a timelike ruled surface may be timelike or spacelike. Furthermore, we characterize the developable of Mannheim offset of a timelike ruled surface by the derivative of the conical curvature of the directing cone.
Cite
@article{arxiv.0906.2077,
title = {On the Developable Mannheim Offsets of Timelike Ruled Surfaces},
author = {Mehmet Onder and H. Hüseyin Uğurlu},
journal= {arXiv preprint arXiv:0906.2077},
year = {2013}
}
Comments
11 pages. arXiv admin note: substantial text overlap with arXiv:0906.4660, arXiv:1007.2041