A new renormalized volume type invariant
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913629779001344 |
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| author | Wu, Jinyang |
| author_facet | Wu, Jinyang |
| contents | In this paper, we define a new conformal invariant on complete non-compact hyperbolic surfaces that can be conformally compactified to bounded domains in $\mathbb{C}$. We study and compute this invariant up to one-connected surfaces. Our results give a new geometric criterion for choosing canonical representations of bounded domains in $\mathbb{C}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_12268 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A new renormalized volume type invariant Wu, Jinyang Differential Geometry Complex Variables 53A05, 53A30 In this paper, we define a new conformal invariant on complete non-compact hyperbolic surfaces that can be conformally compactified to bounded domains in $\mathbb{C}$. We study and compute this invariant up to one-connected surfaces. Our results give a new geometric criterion for choosing canonical representations of bounded domains in $\mathbb{C}$. |
| title | A new renormalized volume type invariant |
| topic | Differential Geometry Complex Variables 53A05, 53A30 |
| url | https://arxiv.org/abs/2309.12268 |