On weakly Einstein Kähler surfaces
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915748303077376 |
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| author | Derdzinski, Andrzej Euh, Yunhee Kim, Sinhwi Park, JeongHyeong |
| author_facet | Derdzinski, Andrzej Euh, Yunhee Kim, Sinhwi Park, JeongHyeong |
| contents | Riemannian four-manifolds in which the triple contraction of the curvature tensor against itself yields a functional multiple of the metric are called weakly Einstein. We focus on weakly Einstein Kähler surfaces. We provide several conditions characterizing those Kähler surfaces which are weakly Einstein, classify weakly Einstein Kähler surfaces having some specific additional properties, and construct new examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00649 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On weakly Einstein Kähler surfaces Derdzinski, Andrzej Euh, Yunhee Kim, Sinhwi Park, JeongHyeong Differential Geometry 53B35, 53C55 Riemannian four-manifolds in which the triple contraction of the curvature tensor against itself yields a functional multiple of the metric are called weakly Einstein. We focus on weakly Einstein Kähler surfaces. We provide several conditions characterizing those Kähler surfaces which are weakly Einstein, classify weakly Einstein Kähler surfaces having some specific additional properties, and construct new examples. |
| title | On weakly Einstein Kähler surfaces |
| topic | Differential Geometry 53B35, 53C55 |
| url | https://arxiv.org/abs/2501.00649 |