Surface pencil with a common line of curvature in Minkowski 3-space
Differential Geometry
2015-01-06 v1
Abstract
In this paper, we analyze the problem of constructing a surface pencil from a given spacelike (timelike) line of curvature. By using the Frenet frame of the given curve in Minkowski 3-space, we express the surface pencil as a linear combination of this frame and derive the necessary and sufficient conditions for the coefficients to satisfy the line of curvature requirement. To illustrate the method some examples showing members of the surface pencil with their line of curvature are given.
Keywords
Cite
@article{arxiv.1305.0341,
title = {Surface pencil with a common line of curvature in Minkowski 3-space},
author = {Evren Ergun and Ergin Bayram and Emin Kasap},
journal= {arXiv preprint arXiv:1305.0341},
year = {2015}
}
Comments
23 pages, 6 figures