On conical asymptotically flat manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910650962280448 |
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| author | Li, Mingyang Sun, Song |
| author_facet | Li, Mingyang Sun, Song |
| contents | We prove a conjecture of Petrunin and Tuschmann on the non-existence of asymptotically flat 4-manifolds asymptotic to the half plane. We also survey recent progress and questions concerning gravitational instantons, which serve as our motivation for studying this question. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11168 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On conical asymptotically flat manifolds Li, Mingyang Sun, Song Differential Geometry Mathematical Physics We prove a conjecture of Petrunin and Tuschmann on the non-existence of asymptotically flat 4-manifolds asymptotic to the half plane. We also survey recent progress and questions concerning gravitational instantons, which serve as our motivation for studying this question. |
| title | On conical asymptotically flat manifolds |
| topic | Differential Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2410.11168 |