Conics in normed planes
Metric Geometry
2011-02-16 v1
Abstract
We study the generalized analogues of conics for normed planes by using the following natural approach: It is well known that there are different metrical definitions of conics in the Euclidean plane. We investigate how these definitions extend to normed planes, and we show that in this more general framework these different definitions yield, in almost all cases, different classes of curves.
Cite
@article{arxiv.1102.3008,
title = {Conics in normed planes},
author = {Ákos G. Horváth and Horst Martini},
journal= {arXiv preprint arXiv:1102.3008},
year = {2011}
}
Comments
12 pages, 8 figures