On the Ricci curvature of Kahler-Ricci Flow
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866911457454587904 |
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| author | Fung, Cheuk Yan |
| author_facet | Fung, Cheuk Yan |
| contents | In this paper, we consider $n$-dimensional compact K$\ddot{a}$hler manifold with semi-ample canonical line bundle under the long time solution of K$\ddot{a}$hler Ricci Flow. In particular, if the Kodaira dimension is one, Ricci curvature converge to negative of generalized K$\ddot{a}$hler Einstein metric $ω_B$ locally away from singular set in $C^0_{loc}(ω(t))$ topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_12415 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the Ricci curvature of Kahler-Ricci Flow Fung, Cheuk Yan Differential Geometry 53E30 In this paper, we consider $n$-dimensional compact K$\ddot{a}$hler manifold with semi-ample canonical line bundle under the long time solution of K$\ddot{a}$hler Ricci Flow. In particular, if the Kodaira dimension is one, Ricci curvature converge to negative of generalized K$\ddot{a}$hler Einstein metric $ω_B$ locally away from singular set in $C^0_{loc}(ω(t))$ topology. |
| title | On the Ricci curvature of Kahler-Ricci Flow |
| topic | Differential Geometry 53E30 |
| url | https://arxiv.org/abs/2111.12415 |