Open Access
february 2013 Isometric embeddings of pretangent spaces in $ E^n$
Viktoriia Bilet, Oleksiy Dovgoshey
Bull. Belg. Math. Soc. Simon Stevin 20(1): 91-110 (february 2013). DOI: 10.36045/bbms/1366306716

Abstract

We prove some infinitesimal analogs of classical results of Menger, Schoenberg and Blumenthal giving the existence conditions for isometric embeddings of metric spaces in the finite-dimensional Euclidean spaces.

Citation

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Viktoriia Bilet. Oleksiy Dovgoshey. "Isometric embeddings of pretangent spaces in $ E^n$." Bull. Belg. Math. Soc. Simon Stevin 20 (1) 91 - 110, february 2013. https://doi.org/10.36045/bbms/1366306716

Information

Published: february 2013
First available in Project Euclid: 18 April 2013

zbMATH: 1276.54019
MathSciNet: MR3082745
Digital Object Identifier: 10.36045/bbms/1366306716

Subjects:
Primary: 54E35

Keywords: Cayley-Menger determinant , infinitesimal geometry of metric spaces , isometric embedding‎ , metric space , pretangent space

Rights: Copyright © 2013 The Belgian Mathematical Society

Vol.20 • No. 1 • february 2013
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