A sub-Riemannian maximum modulus theorem

Autor:	Buseghin, Federico, Forcillo, Nicolò, Garofalo, Nicola
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematics - Differential Geometry 35R03 35H10 31C05
Druh dokumentu:	Working Paper
Popis:	In this note we prove a sub-Riemannian maximum modulus theorem in a Carnot group. Using a nontrivial counterexample, we also show that such result is best possible, in the sense that in its statement one cannot replace the right-invariant horizontal gradient with the left-invariant one.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.19145 Zobrazit plný text záznamu View this record from Arxiv