Metric spaces with unique tangents

2010/12/10 by Enrico Le Donne, Donne, Enrico Le · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Dermatological and Skeletal Disorders #FOS: Mathematics #Geometric Analysis and Curvature Flows #Group Theory (math.GR) #Metric Geometry (math.MG) #math.GR #math.MG

paper · pdf · doi:10.48550/arxiv.1012.2210

arxiv created 2010/12/10 · openalex publication_date 2010/12/10 · arxiv updated 2010/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We are interested in studying doubling metric spaces with the property that at some of the points the metric tangent is unique. In such a setting, Finsler-Carnot-Caratheodory geometries and Carnot groups appear as models for the tangents. The results are based on an analogue for metric spaces of Preiss's phenomenon: tangents of tangents are tangents.

Cited by

• On the Structure of Busemann Spaces with Non-Negative Curvature

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