Prescribed Chern scalar curvature flow on compact Hermitian manifolds with negative Gauduchon degree
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910775414620160 |
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| author | Yu, Weike |
| author_facet | Yu, Weike |
| contents | In this paper, we present a unified flow approach to prescribed Chern scalar curvature problem on compact Hermitian manifolds with negative Gauduchon degree. When the conformal class of its Hermitian metric contains a balanced metric, we give some sufficient conditions on the candidate curvature function $f$ which guaranties the convergence of the flow to a conformal Hermitian metric whose Chern scalar curvature is $f$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03570 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Prescribed Chern scalar curvature flow on compact Hermitian manifolds with negative Gauduchon degree Yu, Weike Differential Geometry 53C55, 53C21 In this paper, we present a unified flow approach to prescribed Chern scalar curvature problem on compact Hermitian manifolds with negative Gauduchon degree. When the conformal class of its Hermitian metric contains a balanced metric, we give some sufficient conditions on the candidate curvature function $f$ which guaranties the convergence of the flow to a conformal Hermitian metric whose Chern scalar curvature is $f$. |
| title | Prescribed Chern scalar curvature flow on compact Hermitian manifolds with negative Gauduchon degree |
| topic | Differential Geometry 53C55, 53C21 |
| url | https://arxiv.org/abs/2501.03570 |