On a generalized Monge-Ampère equation on closed almost 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_ | 1866916716334809088 |
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| author | Wang, Ken Zhang, Zuyi Zheng, Tao Zhu, Peng |
| author_facet | Wang, Ken Zhang, Zuyi Zheng, Tao Zhu, Peng |
| contents | We show the existence and uniqueness of solutions to a generalized Monge-Ampère equation on closed almost Kähler surfaces, where the equation depends only on the underlying almost Kähler structure. As an application, we prove Donaldson's conjecture for tamed almost complex 4-manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18361 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a generalized Monge-Ampère equation on closed almost Kähler surfaces Wang, Ken Zhang, Zuyi Zheng, Tao Zhu, Peng Differential Geometry Analysis of PDEs 53D35, 53C56, 53C65, 32Q60 We show the existence and uniqueness of solutions to a generalized Monge-Ampère equation on closed almost Kähler surfaces, where the equation depends only on the underlying almost Kähler structure. As an application, we prove Donaldson's conjecture for tamed almost complex 4-manifolds. |
| title | On a generalized Monge-Ampère equation on closed almost Kähler surfaces |
| topic | Differential Geometry Analysis of PDEs 53D35, 53C56, 53C65, 32Q60 |
| url | https://arxiv.org/abs/2412.18361 |