Metric spaces with unique tangents

By Enrico Le Donne. 2010

58 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Genetics

View Paper: https://www.semanticscholar.org/paper/a13b34e6f36edc2ecccc0b3b4c53c74284d06ad4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Andrea Mondino
2. Nicola Gigli
3. T. Rajala
4. Luigi Ambrosio
5. Fabio Cavalletti
6. Giuseppe Savar'e
7. Elia Brué
8. Renjin Jiang

In Astronomy and Astrophysics

1. Andrea Mondino
2. Nicola Gigli
3. T. Rajala
4. Fabio Cavalletti
5. Luigi Ambrosio
6. Giuseppe Savar'e
7. Elia Brué
8. Enrico Pasqualetto

In Genetics

1. Andrea Mondino
2. T. Rajala
3. Nicola Gigli
4. C. Ketterer

Citations in the corpus

• Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below (2013, methodology): “Yet, such variant presents no additional difficulties so that we will basically just follow Le Donne’s argument keeping track of the measures involved.”