Taylor polynomials on left-quotients of Carnot groups
Analysis of PDEs
2026-02-05 v3
Abstract
We prove classical Taylor polynomial theorems for sub-Riemannian manifolds that are obtained as the submetric image of a Carnot group. For these theorems we also prove a sufficient condition for real analyticity and a result on L-harmonicity of Taylor polynomials.
Cite
@article{arxiv.2512.12239,
title = {Taylor polynomials on left-quotients of Carnot groups},
author = {Alessandro Ottazzi},
journal= {arXiv preprint arXiv:2512.12239},
year = {2026}
}
Comments
This new version changed the definition of Taylor polynomials and we prove equivalence with the old definition. We added details to the proofs of main theorems