On 3-nondegenerate CR manifolds in dimension 7 (I): the transitive case
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909581912834048 |
|---|---|
| author | Kruglikov, Boris Santi, Andrea |
| author_facet | Kruglikov, Boris Santi, Andrea |
| contents | We investigate 3-nondegenerate CR structures in the lowest possible dimension 7, and one of our goals is to prove Beloshapka's conjecture on the symmetry dimension bound for hypersurfaces in $\mathbb{C}^4$. We claim that 8 is the maximal symmetry dimension of 3-nondegenerate CR structures in dimension 7, which is achieved on the homogeneous model. This part (I) is devoted to the homogeneous case: we prove that the model is locally the only homogeneous 3-nondegenerate CR structure in dimension 7. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_04513 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On 3-nondegenerate CR manifolds in dimension 7 (I): the transitive case Kruglikov, Boris Santi, Andrea Complex Variables Differential Geometry Representation Theory We investigate 3-nondegenerate CR structures in the lowest possible dimension 7, and one of our goals is to prove Beloshapka's conjecture on the symmetry dimension bound for hypersurfaces in $\mathbb{C}^4$. We claim that 8 is the maximal symmetry dimension of 3-nondegenerate CR structures in dimension 7, which is achieved on the homogeneous model. This part (I) is devoted to the homogeneous case: we prove that the model is locally the only homogeneous 3-nondegenerate CR structure in dimension 7. |
| title | On 3-nondegenerate CR manifolds in dimension 7 (I): the transitive case |
| topic | Complex Variables Differential Geometry Representation Theory |
| url | https://arxiv.org/abs/2302.04513 |