Isometric embeddings of pretangent spaces in Eⁿ

2011/08/01 by V. Bilet, Oleksiy Dovgoshey, Bilet, V. +1
Computer Science · Mathematics · #54E35 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1108.0276

openalex publication_date 2011/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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