Constant angle surfaces in Minkowski space
Differential Geometry
2011-06-21 v1
Abstract
A constant angle surface in Minkowski space is a spacelike surface whose unit normal vector field makes a constant hyperbolic angle with a fixed timelike vector. In this work we study and classify these surfaces. In particular, we show that they are flat. Next we prove that a tangent developable surface (resp. cylinder, cone) is a constant angle surface if and only if the generating curve is a helix (resp. a straight-line, a circle).
Cite
@article{arxiv.0905.0670,
title = {Constant angle surfaces in Minkowski space},
author = {Rafael Lopez and Marian Ioan Munteanu},
journal= {arXiv preprint arXiv:0905.0670},
year = {2011}
}
Comments
19 pages, 6 figures