Constant mean curvature graphs in $\mathbb{H}^3$ defined in exterior domains
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Acceso en línea: | |
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| _version_ | 1866917721148489728 |
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| author | Klaser, Patricia Nunes, Adilson Ripoll, Jaime |
| author_facet | Klaser, Patricia Nunes, Adilson Ripoll, Jaime |
| contents | Given $H\in [0,1)$ and given a $C^0$ exterior domain $Ω$ in a $H-$hypersphere of $\mathbb{H}^3,$ the existence of hyperbolic Killing graphs of CMC $H$ defined in $\overlineΩ$ with boundary $ \partial Ω$ included in the $H-$hypersphere is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_07970 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Constant mean curvature graphs in $\mathbb{H}^3$ defined in exterior domains Klaser, Patricia Nunes, Adilson Ripoll, Jaime Differential Geometry Analysis of PDEs Primary 53A10. Secondary 53C42 Given $H\in [0,1)$ and given a $C^0$ exterior domain $Ω$ in a $H-$hypersphere of $\mathbb{H}^3,$ the existence of hyperbolic Killing graphs of CMC $H$ defined in $\overlineΩ$ with boundary $ \partial Ω$ included in the $H-$hypersphere is obtained. |
| title | Constant mean curvature graphs in $\mathbb{H}^3$ defined in exterior domains |
| topic | Differential Geometry Analysis of PDEs Primary 53A10. Secondary 53C42 |
| url | https://arxiv.org/abs/2109.07970 |