Horizons in noncompact fill-ins of nonnegative scalar curvature
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908722849120256 |
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| author | Miao, Pengzi Park, Sehong |
| author_facet | Miao, Pengzi Park, Sehong |
| contents | Given a complete Riemannian metric of nonnegative scalar curvature on $Σ\times (-\infty, 0 ] $, where $Σ$ denotes a $2$-sphere, we exhibit conditions that imply the existence of a closed minimal surface homologous to the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17662 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Horizons in noncompact fill-ins of nonnegative scalar curvature Miao, Pengzi Park, Sehong Differential Geometry General Relativity and Quantum Cosmology Given a complete Riemannian metric of nonnegative scalar curvature on $Σ\times (-\infty, 0 ] $, where $Σ$ denotes a $2$-sphere, we exhibit conditions that imply the existence of a closed minimal surface homologous to the boundary. |
| title | Horizons in noncompact fill-ins of nonnegative scalar curvature |
| topic | Differential Geometry General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.17662 |