| Title: |
On a generalized Monge-Amp\`ere equation on closed almost K\'ahler surfaces |
| Authors: |
Wang, Ken, Zhang, Zuyi, Zheng, Tao, Zhu, Peng |
| Publication Year: |
2024 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, 53D35, 53C56, 53C65, 32Q60 |
| More Details: |
We show the existence and uniqueness of solutions to a generalized Monge-Amp\`{e}re equation on closed almost K\"ahler surfaces, where the equation depends only on the underlying almost K\"ahler structure. As an application, we prove Donaldson's conjecture for tamed almost complex 4-manifolds. |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2412.18361 |
| Accession Number: |
edsarx.2412.18361 |
| Database: |
arXiv |
