Visual angle metric in the upper half plane
2024
Online
report
Zugriff:
We prove an identity which connects the visual angle metric $v_{\mathbb{H}^2}$ and the hyperbolic metric $\rho_{\mathbb{H}^2}$ of the upper half plane $\mathbb{H}^2$. The proof is based on geometric arguments and uses computer algebra methods for formula manipulation. We also prove a sharp H\"older continuity result for quasiregular mappings with respect to the visual angle metric.
Comment: 33 pages, 7 figures, 3 tables
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Visual angle metric in the upper half plane
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Autor/in / Beteiligte Person: | Fujimura, Masayo ; Rainio, Oona ; Vuorinen, Matti |
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Veröffentlichung: | 2024 |
Medientyp: | report |
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