A remark for fully non-linear elliptic equations on compact almost Hermitian manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908414569873408 |
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| author | Huang, Liding |
| author_facet | Huang, Liding |
| contents | In this paper, we generalize the definition of sub-slope, introduced by Guo-Song, to almost Hermitian manifolds and prove the existence of solutions for a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the complex Hessian quotient equation and the deformed Hermitian-Yang-Mills equation in the almost Hermitian setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16305 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A remark for fully non-linear elliptic equations on compact almost Hermitian manifolds Huang, Liding Analysis of PDEs Differential Geometry In this paper, we generalize the definition of sub-slope, introduced by Guo-Song, to almost Hermitian manifolds and prove the existence of solutions for a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the complex Hessian quotient equation and the deformed Hermitian-Yang-Mills equation in the almost Hermitian setting. |
| title | A remark for fully non-linear elliptic equations on compact almost Hermitian manifolds |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2506.16305 |