Weighted cscK metric (I): a priori estimates
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909319629373440 |
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| author | Di Nezza, Eleonora Jubert, Simon Lahdili, Abdellah |
| author_facet | Di Nezza, Eleonora Jubert, Simon Lahdili, Abdellah |
| contents | Let $X$ be a compact Kähler manifold. In this paper we study the existence of constant weighted scalar curvature Kähler (weighted cscK) metrics on $X$. More precisely, we establish a priori $C^{k}$-estimates ($k\geq 0$) for the Kähler potential associated with these metrics, thereby extending a result due to Chen and Cheng in the classical cscK setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09929 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weighted cscK metric (I): a priori estimates Di Nezza, Eleonora Jubert, Simon Lahdili, Abdellah Differential Geometry Complex Variables Let $X$ be a compact Kähler manifold. In this paper we study the existence of constant weighted scalar curvature Kähler (weighted cscK) metrics on $X$. More precisely, we establish a priori $C^{k}$-estimates ($k\geq 0$) for the Kähler potential associated with these metrics, thereby extending a result due to Chen and Cheng in the classical cscK setting. |
| title | Weighted cscK metric (I): a priori estimates |
| topic | Differential Geometry Complex Variables |
| url | https://arxiv.org/abs/2407.09929 |