Fully nonlinear elliptic equations for some prescribed curvature problems on Hermitian manifolds
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911879426736128 |
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| author | Yuan, Rirong |
| author_facet | Yuan, Rirong |
| contents | We study fully nonlinear elliptic equations on Hermitian manifolds through blow-up argument and partial uniform ellipticity. We apply our results to draw geometric conclusions on finding conformal Hermitian metrics with prescribed Chern-Ricci curvature functions. By some obstruction from geometric function theory, our assumptions are almost sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10771 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fully nonlinear elliptic equations for some prescribed curvature problems on Hermitian manifolds Yuan, Rirong Analysis of PDEs Differential Geometry We study fully nonlinear elliptic equations on Hermitian manifolds through blow-up argument and partial uniform ellipticity. We apply our results to draw geometric conclusions on finding conformal Hermitian metrics with prescribed Chern-Ricci curvature functions. By some obstruction from geometric function theory, our assumptions are almost sharp. |
| title | Fully nonlinear elliptic equations for some prescribed curvature problems on Hermitian manifolds |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2405.10771 |