The Poincaré metric is a type of Riemannian metric that is commonly used in the context of hyperbolic geometry. It provides a way to measure distances and angles in hyperbolic space, particularly in the Poincaré disk model and the Poincaré half-plane model. ### Poincaré Disk Model: In the Poincaré disk model, the hyperbolic plane is represented as the interior of the unit disk in the Euclidean plane.
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