List of works - Enrico Le Donne

A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries

scientific article

A metric characterization of Carnot groups

scientific article

A metric characterization of snowflakes of Euclidean spaces

scientific article

A note on topological dimension, Hausdorff measure, and rectifiability

scientific article

Assouad dimension, Nagata dimension, and uniformly close metric tangents

scientific article

Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary

scientific article

Besicovitch Covering Property on graded groups and applications to measure differentiation

scientific article

Besicovitch covering property for homogeneous distances on the Heisenberg groups

scientific article

Bicycle paths, elasticae and sub-Riemannian geometry

Carnot rectifiability of sub-Riemannian manifolds with constant tangent

scientific article published in 2021

Conformal equivalence of visual metrics in pseudoconvex domains

scientific article

Conformality and Q-harmonicity in sub-Riemannian manifolds

scientific article

Corners in non-equiregular sub-Riemannian manifolds

scientific article

Doubling Property for BiLipschitz Homogeneous Geodesic Surfaces

scientific article

Extremal Curves in Nilpotent Lie Groups

scientific article

Extremal polynomials in stratified groups

scientific article

Geodesic manifolds with a transitive subset of smooth biLipschitz maps

scientific article

Infinite-Dimensional Carnot Groups and Gâteaux Differentiability

scientific article

Isometric embeddings of snowflakes into finite-dimensional Banach spaces

scientific article

Isometries of Carnot Groups and Sub-Finsler Homogeneous Manifolds

scientific article

Isometries of nilpotent metric groups

scientific article

Lipschitz and path isometric embeddings of metric spaces

scientific article

Lusin approximation for horizontal curves in step 2 Carnot groups

scientific article

Measure of submanifolds in the Engel group

scientific article

Metric Lie groups admitting dilations

scientific article published in 2021

Metric equivalences of Heintze groups and applications to classifications in low dimension

scientific article

Metric spaces with unique tangents

scientific article

Non-minimality of corners in subriemannian geometry

scientific article

Nonexistence of Quasiconformal Maps Between Certain Metric Measure Spaces

scientific article

On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups

scientific article

On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry.

scientific article published on 17 December 2012

Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces

scientific article

Polynomial and horizontally polynomial functions on Lie groups

scientific article published in 2022

Properties of Isometrically Homogeneous Curves

scientific article

Rectifiability of Sets of Finite Perimeter in Carnot Groups: Existence of a Tangent Hyperplane

scientific article published on 18 March 2009

Regularity of sets with constant horizontal normal in the Engel group

scientific article

Regularity properties of spheres in homogeneous groups

scientific article

Remarks about the Besicovitch Covering Property in Carnot groups of step 3 and higher

scientific article

Restricting open surjections

scientific article

Rigidity of fiber-preserving quasisymmetric maps

scientific article

Sard property for the endpoint map on some Carnot groups

scientific article

Semigenerated Carnot algebras and applications to sub-Riemannian perimeter

scientific article

Sets with constant normal in Carnot groups: properties and examples

scientific article

Smooth surjections and surjective restrictions

scientific article

Smoothness of subRiemannian isometries

scientific article

Some properties of Hölder surfaces in the Heisenberg group

scientific article published in 2013

Space of signatures as inverse limits of Carnot groups

scientific article

Sub-Finsler Geodesics on the Cartan Group

scientific article

Sub-Finsler Structures from the Time-Optimal Control Viewpoint for some Nilpotent Distributions

scientific article

Time-optimal synthesis for three relevant problems: The Brockett integrator, the Grushin plane and the Martinet distribution

scientific article

Toward a quasi-Möbius characterization of invertible homogeneous metric spaces

Ultrarigid tangents of sub-Riemannian nilpotent groups

scientific article

Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds

scientific article published in 2022

Universal differentiability sets and maximal directional derivatives in Carnot groups

scientific article

List of works by Enrico Le Donne

A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries

A metric characterization of Carnot groups

A metric characterization of snowflakes of Euclidean spaces

A note on topological dimension, Hausdorff measure, and rectifiability

Assouad dimension, Nagata dimension, and uniformly close metric tangents

Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary

Besicovitch Covering Property on graded groups and applications to measure differentiation

Besicovitch covering property for homogeneous distances on the Heisenberg groups

Bicycle paths, elasticae and sub-Riemannian geometry

Carnot rectifiability of sub-Riemannian manifolds with constant tangent

Conformal equivalence of visual metrics in pseudoconvex domains

Conformality and Q-harmonicity in sub-Riemannian manifolds

Corners in non-equiregular sub-Riemannian manifolds

Doubling Property for BiLipschitz Homogeneous Geodesic Surfaces

Extremal Curves in Nilpotent Lie Groups

Extremal polynomials in stratified groups

Geodesic manifolds with a transitive subset of smooth biLipschitz maps

Infinite-Dimensional Carnot Groups and Gâteaux Differentiability

Isometric embeddings of snowflakes into finite-dimensional Banach spaces

Isometries of Carnot Groups and Sub-Finsler Homogeneous Manifolds

Isometries of nilpotent metric groups

Lipschitz and path isometric embeddings of metric spaces

Lusin approximation for horizontal curves in step 2 Carnot groups

Measure of submanifolds in the Engel group

Metric Lie groups admitting dilations

Metric equivalences of Heintze groups and applications to classifications in low dimension

Metric spaces with unique tangents

Non-minimality of corners in subriemannian geometry

Nonexistence of Quasiconformal Maps Between Certain Metric Measure Spaces

On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups

On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry.

Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces

Polynomial and horizontally polynomial functions on Lie groups

Properties of Isometrically Homogeneous Curves

Rectifiability of Sets of Finite Perimeter in Carnot Groups: Existence of a Tangent Hyperplane

Regularity of sets with constant horizontal normal in the Engel group

Regularity properties of spheres in homogeneous groups

Remarks about the Besicovitch Covering Property in Carnot groups of step 3 and higher

Restricting open surjections

Rigidity of fiber-preserving quasisymmetric maps

Sard property for the endpoint map on some Carnot groups

Semigenerated Carnot algebras and applications to sub-Riemannian perimeter

Sets with constant normal in Carnot groups: properties and examples

Smooth surjections and surjective restrictions

Smoothness of subRiemannian isometries

Some properties of Hölder surfaces in the Heisenberg group

Space of signatures as inverse limits of Carnot groups

Sub-Finsler Geodesics on the Cartan Group

Sub-Finsler Structures from the Time-Optimal Control Viewpoint for some Nilpotent Distributions

Time-optimal synthesis for three relevant problems: The Brockett integrator, the Grushin plane and the Martinet distribution

Toward a quasi-Möbius characterization of invertible homogeneous metric spaces

Ultrarigid tangents of sub-Riemannian nilpotent groups

Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds

Universal differentiability sets and maximal directional derivatives in Carnot groups