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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.00897 |
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| _version_ | 1866911020909330432 |
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| author | Marini, Stefano Medori, Costantino |
| author_facet | Marini, Stefano Medori, Costantino |
| contents | This paper present homogeneous CR hypersurfaces satisfying the $CR$-invariant property of being $k$-nondegenerate for an arbitrary integer $k\geq 1$. The construction of such homogeneous manifolds are based on $CR$ algebras defined by irreducible representations of $\mathfrak{su}(2)$. An explicit study of the iterated Levi forms with their respective kernels, along with the local model equation, is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00897 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Homogeneous CR Manifolds of Arbitrary Order of Levi Nondegeneracy Marini, Stefano Medori, Costantino Differential Geometry This paper present homogeneous CR hypersurfaces satisfying the $CR$-invariant property of being $k$-nondegenerate for an arbitrary integer $k\geq 1$. The construction of such homogeneous manifolds are based on $CR$ algebras defined by irreducible representations of $\mathfrak{su}(2)$. An explicit study of the iterated Levi forms with their respective kernels, along with the local model equation, is given. |
| title | On Homogeneous CR Manifolds of Arbitrary Order of Levi Nondegeneracy |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2506.00897 |