Showing items with similar title or keywords.

• Curvature exponent and geodesic dimension on Sard-regular Carnot groups 

  Nicolussi Golo, Sebastiano; Zhang, Ye (De Gruyter, 2024)

  In this study, we characterize the geodesic dimension NGEO and give a new lower bound to the curvature exponent NCE on Sard-regular Carnot groups. As an application, we give an example of step-two Carnot group on which NCE ...

• Topics in the geometry of non-Riemannian lie groups 

  Nicolussi Golo, Sebastiano (University of Jyväskylä, 2017)

• 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 ...

• 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 ...

• 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 ...