Angle measures, general rotations, and roulettes in normed planes
Metric Geometry
2016-05-30 v1 Functional Analysis
Abstract
In this paper a special group of bijective maps of a normed plane, called the group of general rotations, is introduced; it contains the isometry group as a subgroup. The concept of general rotations leads to the notion of flexible motions of the plane, and to the concept of Minkowskian roulettes. As a nice consequence of this new approach to motions the validity of a strong analogue to the Euler-Savary equations for Minkowskian roulettes is proved.
Cite
@article{arxiv.1605.08670,
title = {Angle measures, general rotations, and roulettes in normed planes},
author = {Vitor Balestro and Ákos G. Horváth and Horst Martini},
journal= {arXiv preprint arXiv:1605.08670},
year = {2016}
}