Transitional geometry
Geometric Topology
2014-11-24 v1 History and Overview
Abstract
We develop a transitional geometry, that is, a family of geometries of constant curvatures which makes a continuous connec-tion between the hyperbolic, Euclidean and spherical geometries. In this transitional setting, several geometric entities like points, lines, dis-tances, triangles, angles, area, curvature, etc. as well as trigonometric formulae and other properties transit in a continuous manner from one geometry to another. AMS classification: 01-99 ; 53-02 ; 53-03 ; 53A35.
Cite
@article{arxiv.1411.5801,
title = {Transitional geometry},
author = {Athanase Papadopoulos and Norbert A'Campo},
journal= {arXiv preprint arXiv:1411.5801},
year = {2014}
}