Calculus of Variations and Geometric Measure Theory

E. Le Donne - L. Nalon - N. Paddeu - S. Verzellesi

Hypergenerated Carnot groups

created by verzellesi on 31 Mar 2025
modified on 02 Apr 2025

[BibTeX]

Preprint

Inserted: 31 mar 2025
Last Updated: 2 apr 2025

Year: 2025

Abstract:

In this paper we provide an algebraic characterization of those stratified groups in which boundaries with locally constant normal are locally flat. We show that these groups, which we call hypergenerated, are exactly the stratified groups where embeddings of non-characteristic hypersurfaces are locally bi-Lipschitz. Finally, we extend these results to submanifolds of arbitrary codimension.


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