Definify.com
Definition 2025
horosphere
horosphere
English

The disk model of the hyperbolic plane, with a horosphere in blue.
Noun
horosphere (plural horospheres)
- An -dimensional hyperplane in hyperbolic -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.
See also
-
horosphere on Wikipedia.Wikipedia