Hyperbolic Geometry
Chapter
Abstract
Hyperbolic geometry is an important branch of mathematics and physics. For hyperbolic n-space, there are five important analytic models: the Poincaré ball model, the Poinca re half-space model, the Klein ball model, the hemisphere model and the hyperboloid model. The hyperboloid model is defined to be one branch H n of the set
$$
\left\{ {x{ \in ^{{n,1}}}|x \cdot x = - 1} \right\}.
$$
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© Springer Science+Business Media New York 2001