CR compactification for asymptotically locally complex hyperbolic almost Hermitian manifolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916260271357952 |
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| author | Pinoy, Alan |
| author_facet | Pinoy, Alan |
| contents | In this article, we consider a complete, non-compact almost Hermitian manifold whose curvature is asymptotic to that of the complex hyperbolic plane. Under natural geometric conditions, we show that such a manifold arises as the interior of a compact almost complex manifold whose boundary is a strictly pseudoconvex CR manifold. Moreover, the geometric structure of the boundary can be recovered by analysing the expansion of the metric near infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_04062 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | CR compactification for asymptotically locally complex hyperbolic almost Hermitian manifolds Pinoy, Alan Differential Geometry 53C21, 53C35, 53C55, 58J60 In this article, we consider a complete, non-compact almost Hermitian manifold whose curvature is asymptotic to that of the complex hyperbolic plane. Under natural geometric conditions, we show that such a manifold arises as the interior of a compact almost complex manifold whose boundary is a strictly pseudoconvex CR manifold. Moreover, the geometric structure of the boundary can be recovered by analysing the expansion of the metric near infinity. |
| title | CR compactification for asymptotically locally complex hyperbolic almost Hermitian manifolds |
| topic | Differential Geometry 53C21, 53C35, 53C55, 58J60 |
| url | https://arxiv.org/abs/2307.04062 |