A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries E Le Donne Analysis and Geometry in Metric Spaces 5 (1), 116-137, 2017 | 113 | 2017 |
Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane L Ambrosio, B Kleiner, E Le Donne Journal of Geometric Analysis 19, 509-540, 2009 | 74 | 2009 |
On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry E Breuillard, E Le Donne Proceedings of the National Academy of Sciences 110 (48), 19220-19226, 2013 | 65 | 2013 |
Metric spaces with unique tangents EL Donne arXiv preprint arXiv:1012.2210, 2010 | 51 | 2010 |
Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions D Barilari, U Boscain, EL Donne, M Sigalotti Journal of Dynamical and Control Systems 23, 547-575, 2017 | 50 | 2017 |
A metric characterization of Carnot groups E Le Donne Proceedings of the American Mathematical Society 143 (2), 845-849, 2015 | 49 | 2015 |
Non-minimality of corners in subriemannian geometry E Hakavuori, E Le Donne Inventiones mathematicae 206, 693-704, 2016 | 47 | 2016 |
Sard property for the endpoint map on some Carnot groups E Le Donne, R Montgomery, A Ottazzi, P Pansu, D Vittone Annales de l'IHP Analyse non linéaire 33 (6), 1639-1666, 2016 | 47 | 2016 |
Lecture notes on sub-Riemannian geometry E Le Donne preprint, 2010 | 44 | 2010 |
Lipschitz and path isometric embeddings of metric spaces E Le Donne Geometriae Dedicata 166 (1), 47-66, 2013 | 36 | 2013 |
Isometries of Carnot groups and sub-Finsler homogeneous manifolds E Le Donne, A Ottazzi The Journal of Geometric Analysis 26, 330-345, 2016 | 35 | 2016 |
Smoothness of subRiemannian isometries L Capogna, E Le Donne American Journal of Mathematics 138 (5), 1439-1454, 2016 | 33 | 2016 |
Extremal curves in nilpotent Lie groups E Le Donne, GP Leonardi, R Monti, D Vittone Geometric and Functional Analysis 23, 1371-1401, 2013 | 33 | 2013 |
Isometries of nilpotent metric groups V Kivioja, E Le Donne Journal de l’École polytechnique-Mathématiques 4, 473-482, 2017 | 31 | 2017 |
Besicovitch covering property for homogeneous distances on the Heisenberg groups E Le Donne, S Rigot Journal of the European Mathematical Society 19 (5), 1589-1617, 2017 | 28 | 2017 |
Assouad dimension, Nagata dimension, and uniformly close metric tangents E Le Donne, T Rajala arXiv preprint arXiv:1306.5859, 2013 | 28 | 2013 |
Conformality and Q-harmonicity in sub-Riemannian manifolds L Capogna, G Citti, E Le Donne, A Ottazzi Journal de Mathématiques Pures et Appliquées 122, 67-124, 2019 | 27 | 2019 |
Blowups and blowdowns of geodesics in Carnot groups E Hakavuori, E Le Donne Journal of Differential Geometry 123 (2), 267-310, 2023 | 26 | 2023 |
Besicovitch covering property on graded groups and applications to measure differentiation E Le Donne, S Rigot Journal für die reine und angewandte Mathematik (Crelles Journal) 2019 (750 …, 2019 | 26 | 2019 |
Regularity of sets with constant horizontal normal in the Engel group C Bellettini, EL Donne arXiv preprint arXiv:1201.6399, 2012 | 25 | 2012 |