Metric spaces with unique tangents

Details Metric spaces with unique tangents Metric spaces with unique tangents

2010-12-10

arxiv.org/abs/1012.2210v1

Mathematics

Metric Geometry

Scientific paper

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.

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