arXiv
Open Access
2024
Visual angle metric in the upper half plane
Masayo Fujimura
Oona Rainio
Matti Vuorinen
Abstrak
We prove an identity which connects the visual angle metric $v_{\mathbb{H}^2}$ and the hyperbolic metric $ρ_{\mathbb{H}^2}$ 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 Hölder continuity result for quasiregular mappings with respect to the visual angle metric.
Topik & Kata Kunci
Penulis (3)
M
Masayo Fujimura
O
Oona Rainio
M
Matti Vuorinen
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2024
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- en
- Sumber Database
- arXiv
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- Open Access ✓