- 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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Nicolussi Golo, Sebastiano (University of Jyväskylä, 2017)
Le Donne, Enrico; Züst, Roger (EDP Sciences, 2021)We formalize the notion of limit of an inverse system of metric spaces with 1-Lipschitz projections having unbounded fibers. The construction is applied to the sequence of free Carnot groups of fixed rank n and increasing ...
Le Donne, Enrico; Moisala, Terhi (Springer, 2021)This paper contributes to the study of sets of finite intrinsic perimeter in Carnot groups. Our intent is to characterize in which groups the only sets with constant intrinsic normal are the vertical half-spaces. Our ...
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 ...
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 ...