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 ...

• Conformality and Q-harmonicity in sub-Riemannian manifolds 

  Capogna, Luca; Citti, Giovanna; Le Donne, Enrico; Ottazzi, Alessandro (Elsevier Masson, 2019)

  We establish regularity of conformal maps between sub-Riemannian manifolds from regularity of Q-harmonic functions, and in particular we prove a Liouville-type theorem, i.e., 1-quasiconformal maps are smooth in all contact ...

• Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds 

  Le Donne, Enrico; Lučić, Danka; Pasqualetto, Enrico (Springer, 2023)

  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 ...

• 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 ...

• Topics in the geometry of non-Riemannian lie groups 

  Nicolussi Golo, Sebastiano (University of Jyväskylä, 2017)