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pro vyhledávání: '"Nalon, Luca"'
Autor:
Donne, Enrico Le, Nalon, Luca
We consider 2-step free-Carnot groups equipped with sub-Finsler distances. We prove that the metric spheres are codimension-one rectifiable from the Euclidean viewpoint. The result is obtained by studying how the Lipschitz constant for the distance f
Externí odkaz:
http://arxiv.org/abs/2403.10196
Autor:
Nalon, Luca, Tyson, Jeremy T.
The H-type deviation, $\delta({\mathbb G})$, of a step two Carnot group ${\mathbb G}$ quantifies the extent to which ${\mathbb G}$ deviates from the geometrically and algebraically tractable class of Heisenberg-type (H-type) groups. In an earlier pap
Externí odkaz:
http://arxiv.org/abs/2312.06076
We study the Sard problem for the endpoint map in some well-known classes of Carnot groups. Our first main result deals with step 2 Carnot groups, where we provide lower bounds (depending only on the algebra of the group) on the codimension of the ab
Externí odkaz:
http://arxiv.org/abs/2203.16360