Similar Ruled Surfaces with Variable Transformations in Minkowski 3-space
Differential Geometry
2012-05-31 v1
Abstract
In this study, we consider the notion of similar ruled surface for timelike and spacelike ruled surfaces in Minkowski 3-space. We obtain some properties of these special surfaces in E_1^3 and we show that developable ruled surfaces in E_1^3 form a family of similar ruled surfaces if and only if the striction curves of the surfaces are similar curves with variable transformation. Moreover, we obtain that cylindrical surfaces and conoids form two families of similar ruled surfaces in E_1^3.
Keywords
Cite
@article{arxiv.1205.6649,
title = {Similar Ruled Surfaces with Variable Transformations in Minkowski 3-space},
author = {Mehmet Önder},
journal= {arXiv preprint arXiv:1205.6649},
year = {2012}
}
Comments
13 pages. arXiv admin note: substantial text overlap with arXiv:1203.6234