- Artikkeli I: Hakavuori, E., & Le Donne, E. (2016). Non-minimality of corners in subriemannian geometry. Inventiones mathematicae, 206 (3), 693-704. DOI: 10.1007/s00222-016-0661-9
- Artikkeli II: Hakavuori, E. & Le Donne, E. (2018). Blowups and blowdowns of geodesics in Carnot groups. arXiv:1806.09375
- Artikkeli III: Hakavuori, E. (2019). Infinite geodesics and isometric embeddings in Carnot groups of step 2. arXiv:1905.03214
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A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries Le Donne, Enrico (De Gruyter Open, 2017)Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with ...
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide (International Press, 2018)We introduce a family of extremal polynomials associated with the prolongation of a stratified nilpotent Lie algebra. These polynomials are related to a new algebraic characterization of abnormal sub-Riemannian extremals ...
Le Donne, Enrico; Rajala, Tapio (Indiana University, 2015)We study the Assouad dimension and the Nagata dimension of metric spaces. As a general result, we prove that the Nagata dimension of a metric space is always bounded from above by the Assouad dimension. Most of the paper ...
Nicolussi Golo, Sebastiano (University of Jyväskylä, 2017)
Le Donne, Enrico; Lučić, Danka; Pasqualetto, Enrico (Springer, 2022)We prove that sub-Riemannian manifolds are infinitesimally Hilbertian (i.e., the associated Sobolev space is Hilbert) when equipped with an arbitrary Radon measure. The result follows from an embedding of metric derivations ...