Complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^4$ with vanishing Gauss-Kronecker curvature
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2005
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| _version_ | 1866914757279219712 |
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| author | Hasanis, T. Savas-Halilaj, A. Vlachos, T. |
| author_facet | Hasanis, T. Savas-Halilaj, A. Vlachos, T. |
| contents | We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^{4}$ with Gauss-Kronecker curvature identically zero. More precisely, we give a classification of complete minimal hypersurfaces with Gauss-Kronecker curvature identically zero, nowhere vanishing second fundamental form and scalar curvature bounded from below. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0504011 |
| institution | arXiv |
| publishDate | 2005 |
| record_format | arxiv |
| spellingShingle | Complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^4$ with vanishing Gauss-Kronecker curvature Hasanis, T. Savas-Halilaj, A. Vlachos, T. Differential Geometry 53C40, 53C42, 53C50 We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^{4}$ with Gauss-Kronecker curvature identically zero. More precisely, we give a classification of complete minimal hypersurfaces with Gauss-Kronecker curvature identically zero, nowhere vanishing second fundamental form and scalar curvature bounded from below. |
| title | Complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^4$ with vanishing Gauss-Kronecker curvature |
| topic | Differential Geometry 53C40, 53C42, 53C50 |
| url | https://arxiv.org/abs/math/0504011 |