Unraveling Intrinsic Geometry of Sets and Functions in Carnot groups
- Artikkeli I: Enrico Le Donne, Sean Li and Terhi Moisala (2019). Infinite-Dimensional Carnot Groups and Gâteaux Differentiability. Journal of Geometric Analysis DOI: 10.1007/s12220-019-00324-x
- Artikkeli II: Sebastiano Don, Enrico Le Donne, Terhi Moisala and Davide Vittone (2019). A rectifiability result for finite-perimeter sets in Carnot groups. To be published in Indiana University Mathematics Journal arXiv:1912.00493
- Artikkeli III: Enrico Le Donne and Terhi Moisala (2020). Semigenerated Carnot algebras and applications to sub-Riemannian perimeter. arXiv e-prints arXiv:2004.08619
MetadataShow full item record
- Väitöskirjat 
Showing items with similar title or keywords.
Julia, Antoine; Nicolussi Golo, Sebastiano; Vittone, Davide (Springer Science and Business Media LLC, 2022)We consider submanifolds of sub-Riemannian Carnot groups with intrinsic C1 regularity (C1H). Our first main result is an area formula for C1H intrinsic graphs; as an application, we deduce density properties for Hausdorff ...
Nicolussi Golo, Sebastiano (University of Jyväskylä, 2017)
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; 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 ...
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 ...