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How does a conformal mapping preserve angles in hyperbolic geometry?
Suppose I have a sector $D = \{0 < \arg z < \alpha\}$ where $\alpha \leq 2\pi$. If I apply the function $w = \frac{\zeta - i}{\zeta + i}$ from the upper half plane to the unit disc ($\zeta = ...
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Perpendicular in conformal disk model
Firstly, please note that the related question can also be found at mathoverflow.
The question is stated as following:
In Euclidean Geometry, we know that from a given point there is an unique line ...
