Hypergenerated Carnot groups (2503.24161v1)

Published 31 Mar 2025 in math.MG, math.DG, and math.GR

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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