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Horosphere

Related Terms:

horospherical euclidean poincaré disk model tangent space hyperplane hyperbolic dimensional parallel infinity horoball sphere boundary

Noun

Definition: An n-1-dimensional hyperplane in hyperbolic n-dimensional space: it is (in the Poincaré disk) Euclidean-tangent at infinity to the boundary sphere or (in the upper-half-space model) Euclidean-parallel to the boundary hyperplane.

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