Limit behavior of the twisted conical Kähler-Ricci flow with change in the cone angle
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916279439327232 |
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| author | Liu, Jiawei Zhang, Xi |
| author_facet | Liu, Jiawei Zhang, Xi |
| contents | In this paper, we study the limit behavior of the conical Kähler-Ricci flow as its cone angle tends to zero. More precisely, we prove that as the cone angle tends to zero, the conical Kähler-Ricci flow converges to a unique Kähler-Ricci flow, which is smooth outside the divisor and admits cusp singularity along the divisor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04590 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Limit behavior of the twisted conical Kähler-Ricci flow with change in the cone angle Liu, Jiawei Zhang, Xi Differential Geometry Analysis of PDEs In this paper, we study the limit behavior of the conical Kähler-Ricci flow as its cone angle tends to zero. More precisely, we prove that as the cone angle tends to zero, the conical Kähler-Ricci flow converges to a unique Kähler-Ricci flow, which is smooth outside the divisor and admits cusp singularity along the divisor. |
| title | Limit behavior of the twisted conical Kähler-Ricci flow with change in the cone angle |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2406.04590 |