Full Professor, University of Fribourg

Email: ledonne AT msri.org

Home-page: https://sites.google.com/view/enricoledonne/

arxiv id: ledonne_e_1

orcid id: 0000-0002-4415-9916

Available papers (74):

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• E. Le Donne - L. Nalon (preprint)
  Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of step 2 (2024)
• E. Le Donne - N. Paddeu - A. Socionovo (preprint)
  Metabelian distributions and sub-Riemannian geodesics (2024)
• E. Le Donne - N. Paddeu (preprint)
  Escape from compact sets of normal curves in Carnot groups (2023)
• N. Eldredge - M. Gordina - E. Le Donne - S. Li (preprint)
  Notions of null sets in infinite-dimensional Carnot groups (2023)
• G. Antonelli - E. Le Donne - A. Merlo (Accepted Paper: Proceedings of the London Mathematical Society)
  Carnot rectifiability and Alberti representations (2023)
• E. Le Donne - S. Eriksson-Bique - C. Gartland - L. Naples - S. Nicolussi-Golo (Submitted Paper)
  Nilpotent groups and biLipschitz embeddings into $L^1$ (2022)
• E. Le Donne - G. Pallier - X. Xie (Accepted Paper: Groups, Geometry, and Dynamics)
  Rough similarity of left-invariant Riemannian metrics on some Lie groups (2022)
• D. Di Donato - E. Le Donne (preprint)
  Intrinsically Lipschitz sections and applications to metric groups (2022)
• E. Le Donne - F. Tripaldi (Accepted Paper: Analysis and Geometry in Metric Spaces)
  A Cornucopia of Carnot groups in Low Dimensions (2022)
• A. Bravo-Doddoli - E. Le Donne - N. Paddeu (preprint)
  Sympletic reduction of the sub-Riemannian geodesic flow for metabelian nilpotent groups (2022)
• E. Le Donne (Lecture Notes)
  Lecture notes on sub-Riemannian geometry from the Lie group viewpoint (2021)
• V. Kivioja - E. Le Donne - S. Nicolussi Golo (preprint)
  Metric equivalences of Heintze groups and applications to classifications in low dimension (2021)
• G. Antonelli - E. Le Donne - S. Nicolussi Golo (Accepted Paper: Journal of Dynamical and Control Systems)
  Lipschitz Carnot-Carathéodory structures and their limits (2021)
• A. Ardentov - G. Bor - E. Le Donne - R. Montgomery - Y. Sachkov (preprint)
  Bicycle paths, elasticae and sub-Riemannian geometry (2020)
• E. Le Donne - D. Morbidelli - S. Rigot (preprint)
  Horizontally affine maps on step-two Carnot groups (2020)
• E. Le Donne - T. Moisala (preprint)
  Semigenerated step-3 Carnot algebras and applications to sub-Riemannian perimeter (2020)
• G. Antonelli - E. Le Donne (Accepted Paper: Nonlinear Analysis)
  Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces (2020)
• G. Antonelli - E. Le Donne (Accepted Paper: Annali di Matematica Pura ed Applicata (1923 - ))
  Polynomial and horizontally polynomial functions on Lie groups (2020)
• G. Antonelli - D. Di Donato - S. Don - E. Le Donne (Accepted Paper: Annales de l'Institut Fourier)
  Characterizations of uniformly differentiable co-horizontal intrinsic graphs in Carnot groups (2020)
• E. Le Donne - S. Nicolussi Golo (preprint)
  Metric Lie groups admitting dilations (2019)
• E. Le Donne - R. Young (preprint)
  Carnot rectifiability of sub-Riemannian manifolds with constant tangent (2019)
• E. Le Donne - D. Lučić - E. Pasqualetto (Accepted Paper: Potential Analysis)
  Universal infinitesimal Hilbertianity of sub-Riemannian manifolds (2019)
• C. Bellettini - E. Le Donne (preprint)
  Sets with constant normal in Carnot groups: properties and examples (2019)
• E. Le Donne - R. Züst (preprint)
  Space of signatures as inverse limits of Carnot groups (2019)
• S. Don - E. Le Donne - T. Moisala - D. Vittone (Accepted Paper: Indiana Univ. Math. J.)
  A rectifiability result for finite-perimeter sets in Carnot groups (2019)
• E. Hakavuori - E. Le Donne (Submitted Paper)
  Blowups and blowdowns of geodesics in Carnot groups (2018)
• J. Á. Jaramillo - E. Le Donne - T. Rajala (Accepted Paper: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas)
  Restricting open surjections (2018)
• G. David - E. Le Donne (Submitted Paper)
  A note on topological dimension, Hausdorff measure, and rectifiability (2018)
• A. Ardentov - E. Le Donne - Y. Sachkov (Submitted Paper)
  Sub-Finsler geodesics on the Cartan group (2018)
• A. Ardentov - E. Le Donne - Y. Sachkov (Submitted Paper)
  A sub-Finsler problem on the Cartan group (2018)
• E. Le Donne - D. Freeman (Submitted Paper)
  Toward a quasi-Möbius characterization of Invertible Homogeneous Metric Spaces (2018)
• K. Fässler - E. Le Donne (Submitted Paper)
  On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups (2018)
• E. Le Donne - S. Li - T. Moisala (Submitted Paper)
  Gateaux differentiability on infinite-dimensional Carnot groups (2018)
• E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (Comm. Anal. and Geom.)
  Extremal polynomials in stratified groups (2018)
• E. Le Donne - A. Pinamonti - G. Speight (Accepted Paper: J. Math. Pures Appl.)
  Universal differentiability sets and maximal directional derivatives in Carnot groups (2017)
• Michael G. Cowling - V. Kivioja - E. Le Donne - S. Nicolussi Golo - A. Ottazzi (preprint)
  From homogeneous metric spaces to Lie groups (2017)
• L. Capogna - E. Le Donne (preprint)
  Conformal equivalence of visual metrics in pseudoconvex domains (2017)
• E. Le Donne - E. Hakavuori (Accepted Paper: Inventiones Math. )
  Non-minimality of corners in subriemannian geometry (2016)
• E. Le Donne (Submitted Paper)
  A primer on Carnot groups: homogenous groups, CC spaces, and regularity of their isometries (2016)
• D. Barilari - U. Boscain - E. Le Donne - M. Sigalotti (Journal of Dynamical and Control Systems)
  Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions (2016)
• E. Le Donne - G. Speight ( Calculus of Variations and Partial Differential Equations)
  Lusin Approximation for Horizontal Curves in Step 2 Carnot Groups (2016)
• E. Le Donne - R. Montgomery - A. Ottazzi - P. Pansu - D. Vittone (Ann. Inst. H. Poincaré Anal. Non Linéaire)
  Sard Property for the endpoint map on some Carnot groups (2016)
• L. Capogna - E. Le Donne - A. Ottazzi - G. Citti
  Conformality and $Q$-harmonicity in sub-Riemannian manifolds (2016)
• E. Le Donne - T. Rajala - E. Walsberg (preprint)
  Isometric embeddings of snowflakes into finite-dimensional Banach spaces (2016)
• Richard M. Aron - Jesús A. Jaramillo - E. Le Donne (preprint)
  Smooth surjections and surjective restrictions (2016)
• V. Kivioja - E. Le Donne (preprint)
  Isometries of nilpotent metric groups (2016)
• E. Le Donne - S. Nicolussi Golo - A. Sambusetti (Submitted Paper)
  Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary (2015)
• E. Le Donne - S. Nicolussi Golo (Submitted Paper)
  Regularity properties of spheres in homogeneous groups (2015)
• E. Le Donne - S. Rigot (Preprint)
  Besicovitch Covering Property on graded groups and applications to measure differentiation (2015)
• E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (ESAIM Control Optim. Calc. Var.)
  Corners in non-equiregular sub-Riemannian manifolds (2015)
• E. Le Donne - S. Rigot (preprint)
  Remarks about Besicovitch covering property in Carnot groups of step 3 and higher (2015)
• E. Le Donne - X. Xie (preprint)
  Rigidity of fiber-preserving quasisymmetric maps (2015)
• E. Le Donne - S. Li - T. Rajala (preprint)
  Ahlfors-regular distances on the Heisenberg group without biLipschitz pieces (2015)
• E. Le Donne - S. Rigot (Submitted Paper)
  Besicovitch Covering Property for homogeneous distances in the Heisenberg groups (2014)
• E. Le Donne (Accepted Paper: Proceedings of the American Mathematical Society)
  A metric characterization of Carnot groups (2014)
• K. Kinneberg - E. Le Donne (Preprint)
  A metric characterization of snowflakes of Euclidean spaces (2014)
• E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (GAFA Geometric and Functional Analysis)
  Extremal curves in nilpotent Lie groups (2013)
• E. Le Donne - P. Pankka (preprint)
  Closed BLD-elliptic manifolds have virtually Abelian fundamental groups (2013)
• K. Fässler - P. Koskela - E. Le Donne (preprint)
  Nonexistence of quasiconformal maps between certain metric measure spaces (2013)
• E. Le Donne - T. Rajala (preprint)
  Assouad dimension, Nagata dimension, and uniformly close metric tangents (2013)
• L. Capogna - E. Le Donne (preprint)
  Smoothness of subRiemannian isometries (2013)
• E. Le Donne - A. Ottazzi (preprint)
  Isometries of Carnot groups and subFinsler homogeneous manifolds (2012)
• E. Le Donne - R. Züst (preprint)
  Some properties of Hölder surfaces in the Heisenberg group (2012)
• E. Breuillard - E. Le Donne (preprint)
  On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry (2012)
• C. Bellettini - E. Le Donne (preprint)
  Regularity of sets with constant horizontal normal in the Engel group (2012)
• E. Le Donne - A. Ottazzi - B. Warhurst (Preprint)
  Ultrarigid tangents of sub-Riemannian nilpotent groups (2011)
• E. Le Donne (preprint)
  Geodesic metric spaces with unique blow-up almost everywhere: properties and examples (2011)
• E. Le Donne (preprint)
  Properties of isometrically homogeneous curves (2011)
• E. Le Donne (Preprint)
  Lipschitz and path isometric embeddings of metric spaces (2010)
• E. Le Donne - V. Magnani (Rev. Mat. Iberoam.)
  Measure of submanifolds in the Engel group (2010)
• E. Le Donne (preprint)
  Metric spaces with unique tangents (2010)
• L. Ambrosio - B. Kleiner - E. Le Donne (Preprint)
  Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane (2008)
• E. Le Donne (preprint)
  Doubling property for biLipschitz homogeneous geodesic surfaces (2008)
• E. Le Donne (preprint)
  Geodesic manifolds with a transitive subset of smooth biLipschitz maps (2008)

Speaker:

• 12 sep 2024 - 13 sep 2024: DIFFERENTIAL EVOLUTIVE PROBLEMS IN SPACES WITH SINGULARITIES
• 24 jun 2024 - 28 jun 2024: First Johns Hopkins University - University of Bologna Conference "Noncommutativity at the Interface of Topology, Geometry and Analysis"
• 30 jun 2022 - 1 jul 2022: Geometric Analysis in Metric Measure Spaces
• 16 sep 2019 - 20 sep 2019: The Second joint IMU-INdAM Conference in Analysis
• 16 apr 2019 - 17 apr 2019: Some topics of Geometric Analysis and Geometric Measure Theory
• 3 jul 2017 - 14 jul 2017: Summer School in Neurogeometry

Organizer:

• 23 jun 2025 - 27 jun 2025: Sub-Riemannian Geometry and Beyond, IV
• 21 aug 2024 - 23 aug 2024: Workshop - Metric Geometry and Geometric Measure Theory
• 9 jun 2024 - 14 jun 2024: 13th School on Analysis and Geometry in Metric Spaces
• 26 jun 2023 - 30 jun 2023: Conference "Geometry and analysis of groups and manifolds", 26th - 30th June, 2023.
• 19 jun 2023 - 23 jun 2023: Workshop "subRiemannian geometry and beyond, III", 19th - 23rd June, 2023.
• 25 may 2020 - 29 may 2020: Conference: Sub-Riemannian Geometry and Beyond, III. A gist on Lie groups in Pisa
• 19 may 2020 - 23 may 2020: Mini Courses: Sub-Riemannian Geometry and Beyond, III. A gist on Lie groups in Pisa
• 12 aug 2019 - 16 aug 2019: Jyväskylä Summer School
• 18 feb 2019 - 22 feb 2019: Sub-Riemannian Geometry and Beyond. II
• 19 feb 2018 - 23 feb 2018: Subriemannian geometry and beyond
• 1 apr 2015 - 30 jun 2015: Trimester "Analysis and Geometry in Metric Spaces" in Madrid