Hyperbolic Geometry

Hongbo Li

Chapter Chapter 4 in Geometric Algebra with Applications in Science and Engineering, 2001, pp 61-85 from Springer

Abstract: 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 $$ \left\{ {x{ \in ^{{n,1}}}|x \cdot x = - 1} \right\}. $$

Date: 2001
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DOI: 10.1007/978-1-4612-0159-5_4

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