Hyperbolic Motion
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In geometry, a hyperbolic motion is a mapping of a model of hyperbolic geometry that preserves the distance measure in the model. Such a mapping is analogous to congruences of Euclidean geometry which are compositions of rotations and translations. One uses hyperbolic motions to relate structures within the model. The collection of all hyperbolic motions form a group which characterizes the geometry according to the Erlangen program. Hyperbolic motions are visualized in the upper half-plane model HP = {(x,y): y 0} with certain geometric transformations.

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Produktbeschreibung
In geometry, a hyperbolic motion is a mapping of a model of hyperbolic geometry that preserves the distance measure in the model. Such a mapping is analogous to congruences of Euclidean geometry which are compositions of rotations and translations. One uses hyperbolic motions to relate structures within the model. The collection of all hyperbolic motions form a group which characterizes the geometry according to the Erlangen program. Hyperbolic motions are visualized in the upper half-plane model HP = {(x,y): y 0} with certain geometric transformations.