A sub-Riemannian maximum modulus theorem
Analysis of PDEs
2023-05-31 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.2305.19145,
title = {A sub-Riemannian maximum modulus theorem},
author = {Federico Buseghin and Nicolò Forcillo and Nicola Garofalo},
journal= {arXiv preprint arXiv:2305.19145},
year = {2023}
}