Abstract
Euclidean space has many nice properties. It is a connected and simply connected topological space, i.e., its topology is simple. It is a Riemann space and from the point of view of Riemannian geometry it is flat, complete, homogeneous and isotropic. Moreover, a space with such properties is unique in every dimension. Therefore, Euclidean space is a suitable and historically the first area for constructing mechanical models.
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© 2006 Springer
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Shchepetilov, A.V. (2006). Two-Point Homogeneous Riemannian Spaces. In: Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces. Lecture Notes in Physics, vol 707. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-35386-0_1
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DOI: https://doi.org/10.1007/3-540-35386-0_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35384-3
Online ISBN: 978-3-540-35386-7
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