Combinatorial Calabi flow for ideal circle pattern
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909579742281728 |
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| author | Li, Shengyu Wang, Zhigang |
| author_facet | Li, Shengyu Wang, Zhigang |
| contents | We study the combinatorial Calabi flow for ideal circle patterns in both hyperbolic and Euclidean background geometry. We prove that the flow exists for all time and converges exponentially fast to an ideal circle pattern metric on surfaces with prescribed attainable curvatures. As a consequence, we provide an algorithm to find the desired ideal circle patterns. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01678 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Combinatorial Calabi flow for ideal circle pattern Li, Shengyu Wang, Zhigang Differential Geometry Complex Variables 52C26 We study the combinatorial Calabi flow for ideal circle patterns in both hyperbolic and Euclidean background geometry. We prove that the flow exists for all time and converges exponentially fast to an ideal circle pattern metric on surfaces with prescribed attainable curvatures. As a consequence, we provide an algorithm to find the desired ideal circle patterns. |
| title | Combinatorial Calabi flow for ideal circle pattern |
| topic | Differential Geometry Complex Variables 52C26 |
| url | https://arxiv.org/abs/2501.01678 |