On the Calabi estimate of geometric flows of Hermitian metrics
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910148617830400 |
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| author | Gallo, Marco Vezzoni, Luigi |
| author_facet | Gallo, Marco Vezzoni, Luigi |
| contents | We establish a general result ensuring a $C^1$ a priori bound for smooth curves of Hermitian metrics. As a main application, we obtain a new regularity result for Hermitian curvature flows, and in particular for the second Chern-Ricci flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18195 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Calabi estimate of geometric flows of Hermitian metrics Gallo, Marco Vezzoni, Luigi Differential Geometry 53C26, 32Q55, 35B45 We establish a general result ensuring a $C^1$ a priori bound for smooth curves of Hermitian metrics. As a main application, we obtain a new regularity result for Hermitian curvature flows, and in particular for the second Chern-Ricci flow. |
| title | On the Calabi estimate of geometric flows of Hermitian metrics |
| topic | Differential Geometry 53C26, 32Q55, 35B45 |
| url | https://arxiv.org/abs/2604.18195 |