The hyperboloid model is a model of n dimensional hyperbolic geometry in which points are represented by points on the forward sheet of a two sheeted hyperboloid embedded in an n plus one dimensional Minkowski space. Hyperbolic space is embedded isometrically in this Minkowski space, meaning the hyperbolic distance function is inherited directly from the distance structure of the Minkowski space itself. Because of its association with Hermann Minkowski, the model is also called the Minkowski model, and it stands alongside other representations of hyperbolic geometry such as the Poincare disk model and the Beltrami-Klein model.
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1. Hyperboloid model (Wikipedia)
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In geometry, the hyperboloid model, also known as the Minkowski model after Hermann Minkowski, is a model of n-dimensional hyperbolic geometry in which points are represented by points on the forward sheet S+ of a two-sheeted hyperboloid in (n+1)-dimensional Minkowski space or by the displacement vectors from the origin to those points
In Branch: Geometry, Lead sentence
In geometry, the hyperboloid model, also known as the Minkowski model after Hermann Minkowski, is a model of n-dimensional hyperbo
Attributed To: Hermann Minkowski, Lead paragraph
In geometry, the hyperboloid model, also known as the Minkowski model after Hermann Minkowski, is a model of n-dimensional hyperbolic geometry in which points are represented by points
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