Papers and Preprints of Enrico Le Donne (and some slides of talks) -- see also MathSciNet profile
Notions of null sets in infinite-dimensional Carnot groups
Nathaniel Eldredge, Maria Gordina, Enrico Le Donne, Sean Li
Escape from compact sets of normal curves in Carnot groups
Enrico Le Donne, Nicola Paddeu
Carnot rectifiability and Alberti representations
Gioacchino Antonelli, Enrico Le Donne, Andrea Merlo
Rough similarity of left-invariant Riemannian metrics on some Lie groups
Enrico Le Donne, Gabriel Pallier, Xiangdong Xie
Intrinsically Lipschitz sections and applications to metric groups
Daniela Di Donato, Enrico Le Donne
Nilpotent groups and biLipschitz embeddings into L1
Sylvester Eriksson-Bique, Chris Gartland, Enrico Le Donne, Lisa Naples, Sebastiano Nicolussi-Golo
Lipschitz Carnot-Carathéodory structures and their limits
Gioacchino Antonelli, Enrico Le Donne, Sebastiano Nicolussi Golo
Metric equivalences of Heintze groups and applications to classifications in low dimension
Ville Kivioja, Enrico Le Donne, Sebastiano Nicolussi Golo
Polynomial and horizontally polynomial functions on Lie groups
Gioacchino Antonelli, Enrico Le Donne
Bicycle paths, elasticae and sub-Riemannian geometry
Andrey Ardentov, Gil Bor, Enrico Le Donne, Richard Montgomery, Yuri Sachkov
A Cornucopia of Carnot groups in Low Dimension
Enrico Le Donne, Francesca Tripaldi
Characterizations of uniformly differentiable co-horizontal intrinsic graphs in Carnot groups (with Antonelli, Di Donato, Don)
(Preprint 2020 - available on arXiv.org).
Semigenerated step-3 Carnot algebras and applications to sub-Riemannian perimeter(with Terhi Moisala)
(Preprint 2020 - available on arXiv.org).
Horizontally affine maps on step-two Carnot groups (with Morbidelli, Rigot)
(Preprint 2020 - available on arXiv.org).
A rectifiability result for finite-perimeter sets in Carnot groups (with Don, Moisala, Vittone)
(Preprint 2019 - available on arXiv.org).
Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces (with Gioacchino Antonelli)
Nonlinear Analysis (available on arXiv.org).
Sets with constant normal in Carnot groups: properties and examples (with Costante Bellettini)
(Preprint 2019 - available on arXiv.org).
Universal infinitesimal Hilbertianity of sub-Riemannian manifolds (with Lučić, Pasqualetto)
(Preprint 2019 - available on arXiv.org).
Space of signatures as inverse limits of Carnot groups (with Roger Züst)
(Preprint 2019 - available on arXiv.org).
Carnot rectifiability of sub-Riemannian manifolds with constant tangent (with Robert Young)
(Preprint 2019 - available on arXiv.org).
Metric Lie groups admitting dilations (with Sebastiano Nicolussi Golo)
(Preprint 2019 - available on arXiv.org).
Gâteaux differentiability on infinite-dimensional Carnot groups (with Sean Li and Terhi Moisala)
(Preprint 2018 - available on arXiv.org).
Toward a quasi-Möbius characterization of Invertible Homogeneous Metric Spaces (with David Freeman)
(Preprint 2018 - available on arXiv.org).
On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups (with Katrin Fässler)
(Preprint 2018 - available on arXiv.org).
Sub-Finsler geodesics on the Cartan group (with A. Ardentov and Yu. Sachkov)
(Preprint 2018 - available on arXiv.org).
A sub-Finsler problem on the Cartan group (with A. Ardentov and Yu. Sachkov)
Tr. Mat. Inst. Steklova (available on arXiv.org).
A note on topological dimension, Hausdorff measure, and rectifiability (with G. C. David)
(Preprint 2018 - available on arXiv.org).
Blowups and blowdowns of geodesics in Carnot groups (with E. Hakavuori)
(Preprint 2018 - available on arXiv.org).
Restricting open surjections (with J. Jaramillo, T. Rajala)
(Preprint 2018 - available on arXiv.org).
Homogeneous Distances on Lie Groups (with S. Nicolussi Golo)
(Preliminary version 2017 - available here).
From homogeneous metric spaces to Lie groups (with M. Cowling, V. Kivioja, S. Nicolussi Golo, A. Ottazzi)
(Preprint 2017 - available on arXiv.org).
Universal differentiability sets and maximal directional derivatives in Carnot groups (with A. Pinamonti, G. Speight)
Journal de Mathématiques Pures et Appliquées 2017 (old version available on arXiv.org).
Conformal equivalence of visual metrics in pseudoconvex domains (with L. Capogna)
(Preprint 2017 - available on arXiv.org).
Isometric embeddings of snowflakes into finite-dimensional Banach spaces (with T. Rajala, E. Walsberg)
Accepted in Proceedings of the American Mathematical Society (old version available on arXiv.org).
Smooth surjections and surjective restrictions (with R. Aron, J. Jaramillo)
Accepted in Annales Academiae Scientiarum Fennicae Mathematica (old version available on arXiv.org).
A primer on Carnot groups: homogenous groups, CC spaces, and regularity of their isometries
(Preprint 2016 - available on arXiv.org).
Conformality and Q-harmonicity in sub-Riemannian manifolds (with L. Capogna, G. Citti, A. Ottazzi)
Journal de Mathématiques Pures et Appliquées 2017 (old version available on arXiv.org).
Lusin approximation for horizontal curves in step 2 Carnot groups (with G.Speight)
Calculus of Variations and PDE's, (2016), (old version available on arXiv.org).
Isometries of nilpotent metric groups (with V.Kivioja)
Accepted in Journal de l'École polytechnique (old version available on arXiv.org).
Besicovitch Covering Property on graded groups and applications to measure differentiation (with S. Rigot)
Accepted in Journal für die reine und angewandte Mathematik (old version available on arXiv.org).
Non-minimality of corners in subriemannian geometry (with E. Hakavuori)
Inventiones mathematicae, (2016), (available on arXiv.org).
Regularity properties of spheres in homogeneous groups (with S. Nicolussi Golo)
Accepted in Transactions of the AMS (old version available on arXiv.org).
Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary (with S. Nicolussi Golo, A. Sambusetti)
Accepted in Annali di Matematica Pura ed Applicata (old version available on arXiv.org).
Ahlfors-regular distances on the Heisenberg group without biLipschitz pieces (with S. Li and T. Rajala)
Accepted in Proceedings of the London Mathematical Society (old version available on arXiv.org).
Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions (with D.Barilari, U.Boscain, M.Sigalotti)
Accepted in Journal of Dynamical and Control Systems (old version available on arXiv.org).
Remarks about Besicovitch covering property in Carnot groups of step 3 and higher (with S. Rigot)
Proceedings of the American Mathematical Society, (2016), (old version available on arXiv.org).
Sard Property for the endpoint map on some Carnot groups (with R.Montgomery, A.Ottazzi, P.Pansu, D.Vittone)
Annales de l'Institut Henri Poincare / Analyse non lineaire, (2016), (old version available on arXiv.org).
Rigidity of fiber-preserving quasisymmetric maps (with X. Xie)
Revista Matematica Iberoamericana, (2016), (old version available on arXiv.org).
A metric characterization of snowflakes of Euclidean spaces (with K. Kinneberg)
Accepted in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, (old version available on arXiv.org).
Besicovitch covering property for homogeneous distances on the Heisenberg groups (with S. Rigot)
Accepted in Journal of the European Mathematical Society (old version available on arXiv.org).
Corners in non-equiregular sub-Riemannian manifolds (with G.P. Leonardi, R. Monti, D. Vittone)
ESAIM: Control, Optimisation and Calculus of Variations, (2015), (old version available on arXiv.org).
Closed BLD-elliptic manifolds have virtually Abelian fundamental groups (with P. Pankka)
New York Journal of Mathematics (old version available on arXiv.org).
Nonexistence of quasiconformal maps between certain metric measure spaces (with K. Fässler, P. Koskela)
International Mathematics Research Notices (2015), (old version available on arXiv.org).
Extremal polynomials in stratified groups (with G.P. Leonardi, R. Monti, D. Vittone)
Accepted in Communications in Analysis and Geometry (old version available on arXiv.org).
Assouad dimension, Nagata dimension, and uniformly close metric tangents (with T. Rajala)
Indiana University Mathematics Journal (2015), (old version available on arXiv.org).
Smoothness of subRiemannian isometries (with L. Capogna)
American Journal of Mathematics (2016), (old version available on arXiv.org).
A metric characterization of Carnot groups
Proceedings of the American Mathematical Society (2015), (old version available on arXiv.org).
Isometries of Carnot groups and subFinsler homogeneous manifolds (with A. Ottazzi)
Journal of Geometric Analysis, (2016), (old version available on arXiv.org).
Extremal curves in nilpotent Lie groups (with G.P. Leonardi, R. Monti, D. Vittone)
Geom. Funct. Anal., (2013), (old version available on arXiv.org).
Some properties of Hölder surfaces in the Heisenberg group (with R. Züst)
Illinois Journal of Mathematics, (2013), (old version available on arXiv.org).
On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry (with E. Breuillard))
Proceedings of the National Academy of Sciences of the USA, (old version available on arXiv.org).
Regularity of sets with constant horizontal normal in the Engel group (with C. Bellettini)
Communications in Analysis and Geometry, (2013), (old version available on arXiv.org).
[Oberwolfach report] Geodesic metric spaces with unique blow-up almost everywhere: properties and examples
Differentialgeometrie im Großen, Oberwolfach Report, (2011), (old version available on arXiv.org).
Properties of isometrically homogeneous curves
International Mathematics Research Notices, (2013), (old version available on arXiv.org).
Ultra-rigid tangents of sub-Riemannian nilpotent groups (with A. Ottazzi & B. Warhurst)
Annales de l'Institut Fourier, (2014), (old version available on arXiv.org). Here is the Maple code cited.
Metric spaces with unique tangents,
Annales Academiae Scientiarum Fennicae Mathematica, (2011), (old version available on arXiv.org).
Lipschitz and path isometric embeddings of metric spaces
Geometriae Dedicata, (2013), (old version available on arXiv.org).
Doubling property for biLipschitz homogeneous geodesic surfaces,
Journal of Geometric Analysis, (2011), (old version available on arXiv.org).
Measure of submanifolds in the Engel group (with V. Magnani)
Revista Matematica Iberoamericana, (2010), (old version available on arXiv.org).
Geodesic manifolds with a transitive subset of smooth biLipschitz maps,
Groups, Geometry, and Dynamics, (2011), (old version available on arXiv.org)
Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane (with L. Ambrosio and B. Kleiner)
Journal of Geometric Analysis, (2009), (old version available on arXiv.org).
back to home page