Taylor polynomials on left-quotients of Carnot groups

Alessandro Ottazzi

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arXiv · 2512.12239

Taylor polynomials on left-quotients of Carnot groups

Alessandro Ottazzi

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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.

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Alessandro Ottazzi. 2025-12-13. Taylor polynomials on left-quotients of Carnot groups. https://arxiv.org/abs/2512.12239

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