Discrete conformal structures on surfaces with boundary (II) -- Rigidity and Existence
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912498559483904 |
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| author | Xu, Xu Zheng, Chao |
| author_facet | Xu, Xu Zheng, Chao |
| contents | In \cite{X-Z DCS1}, we introduced discrete conformal structures on surfaces with boundary via an axiomatic framework, and provided a classification of such discrete conformal structures. The present work focuses on the rigidity and existence of these discrete conformal structures on surfaces with boundary. As a direct consequence, the results by Guo-Luo in \cite{GL2} and Guo in \cite{Guo}, which deal with the rigidity and existence of discrete conformal structures on surfaces with boundary, are extended to a very general context. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_19501 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Discrete conformal structures on surfaces with boundary (II) -- Rigidity and Existence Xu, Xu Zheng, Chao Differential Geometry Geometric Topology (2020): 52C25, 52C26 In \cite{X-Z DCS1}, we introduced discrete conformal structures on surfaces with boundary via an axiomatic framework, and provided a classification of such discrete conformal structures. The present work focuses on the rigidity and existence of these discrete conformal structures on surfaces with boundary. As a direct consequence, the results by Guo-Luo in \cite{GL2} and Guo in \cite{Guo}, which deal with the rigidity and existence of discrete conformal structures on surfaces with boundary, are extended to a very general context. |
| title | Discrete conformal structures on surfaces with boundary (II) -- Rigidity and Existence |
| topic | Differential Geometry Geometric Topology (2020): 52C25, 52C26 |
| url | https://arxiv.org/abs/2407.19501 |