On the rigid algebraic structure of Euclidean spaces

Details On the rigid algebraic structure of Euclidean spaces On the rigid algebraic structure of Euclidean spaces

2000-05-22

arxiv.org/abs/math/0005214v1

Mathematics

General Mathematics

PostScript, 6 pages, 6 figures, in Russian

Scientific paper

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.

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