Slant Ruled Surfaces
Differential Geometry
2018-06-05 v2
Abstract
In this study, we define some new types of ruled surfaces called slant ruled surfaces. We give some characterizations for a regular ruled surface to be a slant ruled surface in Euclidean 3- space. We show that if the slant ruled surface is developable then the striction curve is a general helix or a slant helix according to the kind of surface. Moreover, we give the relationships between slant ruled surfaces and some offset surfaces such as Bertrand offsets and Mannheim offsets.
Keywords
Cite
@article{arxiv.1311.0627,
title = {Slant Ruled Surfaces},
author = {Mehmet Önder},
journal= {arXiv preprint arXiv:1311.0627},
year = {2018}
}
Comments
12 pages