On the rigid algebraic structure of Euclidean spaces
General Mathematics
2007-05-23 v1
Abstract
It is shown that the groups of automorphisms of Euclidean spaces are isomorphic to the groups of topologic automorphisms of respectively factored arithmetic spaces. In particular, the geometry of Euclidean n-space with positive signature is associated with factorization of n-dimensional arithmetic space into n-dimensional sphere.
Keywords
Cite
@article{arxiv.math/0005214,
title = {On the rigid algebraic structure of Euclidean spaces},
author = {I. V. Bayak},
journal= {arXiv preprint arXiv:math/0005214},
year = {2007}
}
Comments
PostScript, 6 pages, 6 figures, in Russian