Showing items with similar title or keywords.

• Topics in the geometry of non-Riemannian lie groups 

  Nicolussi Golo, Sebastiano (University of Jyväskylä, 2017)

• Space of signatures as inverse limits of Carnot groups 

  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 ...

• Semigenerated Carnot algebras and applications to sub-Riemannian perimeter 

  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 ...

• Assouad Dimension, Nagata Dimension, and Uniformly Close Metric Tangents 

  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 ...

• Extremal polynomials in stratified groups 

  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 ...