Equivalence of sub-Laplacian on Polarized groups
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929654047178752 |
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| author | Kijowski, Antoni Golo, Sebastiano Nicolussi Warhurst, Ben |
| author_facet | Kijowski, Antoni Golo, Sebastiano Nicolussi Warhurst, Ben |
| contents | We characterize smooth maps between sub-Riemannian Lie groups that commute with sub-Laplacians.
We show they are sub-Riemannian conformal submersions.
Our work clarifies the analysis initiated on Carnot groups in \cite{MR2363343}.
In particular, we show that the sub-Laplacian in a Carnot group determines the sub-Riemannian structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00576 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivalence of sub-Laplacian on Polarized groups Kijowski, Antoni Golo, Sebastiano Nicolussi Warhurst, Ben Differential Geometry Analysis of PDEs 35B06 (Primary) 53C17, 35H20, 53C30, 22F30, 22E25 (Secondary) We characterize smooth maps between sub-Riemannian Lie groups that commute with sub-Laplacians. We show they are sub-Riemannian conformal submersions. Our work clarifies the analysis initiated on Carnot groups in \cite{MR2363343}. In particular, we show that the sub-Laplacian in a Carnot group determines the sub-Riemannian structure. |
| title | Equivalence of sub-Laplacian on Polarized groups |
| topic | Differential Geometry Analysis of PDEs 35B06 (Primary) 53C17, 35H20, 53C30, 22F30, 22E25 (Secondary) |
| url | https://arxiv.org/abs/2501.00576 |