Vacuum Static Spaces with Positive Isotropic Curvature
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866915203776512000 |
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| author | Hwang, Seungsu Yun, Gabjin |
| author_facet | Hwang, Seungsu Yun, Gabjin |
| contents | In this paper, we study vacuum static spaces with positive isotropic curvature. We prove that if $(M^n, g, f)$, $n \ge 4$, is a compact vacuum static space with positive isotropic curvature, then up to finite cover, $M$ is isometric to a sphere ${\Bbb S}^n$ or the product of a circle ${\Bbb S}^1$ with an $(n-1)$-dimensional sphere ${\Bbb S}^{n-1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_15818 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Vacuum Static Spaces with Positive Isotropic Curvature Hwang, Seungsu Yun, Gabjin Differential Geometry Primary 53C25, Secondary 53C20 In this paper, we study vacuum static spaces with positive isotropic curvature. We prove that if $(M^n, g, f)$, $n \ge 4$, is a compact vacuum static space with positive isotropic curvature, then up to finite cover, $M$ is isometric to a sphere ${\Bbb S}^n$ or the product of a circle ${\Bbb S}^1$ with an $(n-1)$-dimensional sphere ${\Bbb S}^{n-1}$. |
| title | Vacuum Static Spaces with Positive Isotropic Curvature |
| topic | Differential Geometry Primary 53C25, Secondary 53C20 |
| url | https://arxiv.org/abs/2103.15818 |