Metric spaces with unique tangents

Enrico Le Donne

Metric spaces with unique tangents

Metric Geometry 2010-12-13 v1 Group Theory

Authors: Enrico Le Donne

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.

Keywords

metric spaces tangent bundle topological spaces

Cite

@article{arxiv.1012.2210,
  title  = {Metric spaces with unique tangents},
  author = {Enrico Le Donne},
  journal= {arXiv preprint arXiv:1012.2210},
  year   = {2010}
}