Taylor polynomials on left-quotients of Carnot groups

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.

arXiv commentThis 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