Enrico Le Donne

Applied Mathematics · with Ambrosio · 2008–2018

A researcher in the Science corpus: 6 papers; trusts 22 researchers and is trusted by 7 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 35 citations into it; #2,859 of 7,620 by trust here, #2,955 by citations
• Geometry and Topology — 26 citations into it; #5,941 of 7,422 by trust here, #5,008 by citations
• Mathematical Physics — 14 citations into it; #7,507 of 8,562 by trust here, #5,794 by citations
• Astronomy and Astrophysics — 9 citations into it; #5,377 of 10,964 by trust here, #10,437 by citations

Whom Enrico Le Donne trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Bruno Franchi
2. Luigi Ambrosio
3. Richard Montgomery
4. Francesco Serra Cassano
5. Jeff Cheeger
6. Andrei A. Agrachev
7. Misha Gromov
8. Davide Barilari
9. Raul Paolo Serapioni
10. Bruce Kleiner

Who trusts Enrico Le Donne overall

1. Nicola Gigli
2. Andrea Mondino
3. A. Sorrentino
4. T. Rajala
5. L. Rizzi

Papers from Enrico Le Donne's perspective

Ordered by how strongly the researchers Enrico Le Donne trusts endorse each paper. Same corpus, a different order for every researcher.

1. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
2. Geometric Measure Theory
3. Some Fine Properties of Sets of Finite Perimeter in Ahlfors Regular Metric Measure Spaces
4. Differentiating maps into L1, and the geometry of BV functions
5. On the structure of finite perimeter sets in step 2 Carnot groups
6. A Formula for Popp’s Volume in Sub-Riemannian Geometry
7. Topics on analysis in metric spaces
8. Functions of Bounded Variation and Free Discontinuity Problems
9. On the differentiability of Lispschitz maps from metric measure spaces to Banach spaces
10. Fine Properties of Sets of Finite Perimeter in Doubling Metric Measure Spaces

Their papers

• Sard Property for the endpoint map on some Carnot groups (2015) — 74 citations
• A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries (2018) — 99 citations
• A metric characterization of Carnot groups (2013) — 60 citations
• On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry (2012) — 65 citations
• Metric spaces with unique tangents (2010) — 58 citations
• Rectifiability of Sets of Finite Perimeter in Carnot Groups: Existence of a Tangent Hyperplane (2008) — 68 citations