Unraveling Intrinsic Geometry of Sets and Functions in Carnot groups
ISBN
978-951-39-8252-2Contains publications
- 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
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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 ... -
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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 ...