Taylor polynomials on left-quotients of Carnot groups
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911420295151616 |
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| author | Ottazzi, Alessandro |
| author_facet | Ottazzi, Alessandro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12239 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Taylor polynomials on left-quotients of Carnot groups Ottazzi, Alessandro Analysis of PDEs 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. |
| title | Taylor polynomials on left-quotients of Carnot groups |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.12239 |