Gauss Metric on the Kummer Surface
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_ | 1866929651045105664 |
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| author | Hayashi, Masahito Shigemoto, Kazuyasu Tsukioka, Takuya |
| author_facet | Hayashi, Masahito Shigemoto, Kazuyasu Tsukioka, Takuya |
| contents | On the Kummer surface, we have obtained two different Gauss metrices by parametrizing it in two ways. We have found that these Gauss metrices are not Ricci flat. The double sphere, which is the special case of the Kummer surface, has the Kähler metric and the first Chern class of it does not vanish. Its metric is the Einstein metric which is not Ricci flat. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06489 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gauss Metric on the Kummer Surface Hayashi, Masahito Shigemoto, Kazuyasu Tsukioka, Takuya Classical Analysis and ODEs On the Kummer surface, we have obtained two different Gauss metrices by parametrizing it in two ways. We have found that these Gauss metrices are not Ricci flat. The double sphere, which is the special case of the Kummer surface, has the Kähler metric and the first Chern class of it does not vanish. Its metric is the Einstein metric which is not Ricci flat. |
| title | Gauss Metric on the Kummer Surface |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2412.06489 |