Finding:

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   Hyperbolic geometry

   In mathematics, hyperbolic geometry (or Bolyai-Lobachevskian geometry) is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is replaced.
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   Non-Euclidean geometry

   In hyperbolic geometry there are many more than one distinct line through a particular point that will not intersect with another given line.
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   Category:Hyperbolic geometry

   Hyperbolic spaces are often associated with dynamical systems that are ergodic. ... Non-Euclidean geometry
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   Gyrovector space

   In mathematics and physics, gyrovectors are a tool for studying hyperbolic geometry in analogy to the way vector spaces are used in Euclidean geometry.
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   Differential geometry of surfaces

   The four models of 2-dimensional hyperbolic geometry that emerged were:
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   Hyperbolic space

   Another closely related pair of models of hyperbolic geometry are the Poincaré ball and Poincaré half-space models.
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   Shape of the Universe

   A hyperbolic universe is described by hyperbolic geometry, and can be thought of locally as a three-dimensional analog of an infinitely extended saddle shape.
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   Hyperbolic triangle

   In hyperbolic geometry, a hyperbolic triangle is a figure in a hyperbolic plane, analogous to a triangle in Euclidean geometry.
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   Hyperbolic motion

   leaves the disk D invariant.Since it also permutes the hyperbolic lines we see that these transformations are motions of the D model of hyperbolic geometry.
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    Geometric group theory

    Geometric group theory closely interacts with low-dimensional topology, hyperbolic geometry, algebraic topology, computational group theory and geometric analysis.

Explore the following pages on Powerset:

• Hyperbolic geometry,
• Non-Euclidean geometry,
• Category:Hyperbolic geometry,
• Gyrovector space,
• Differential geometry of surfaces,
• Hyperbolic space,
• Shape of the Universe,
• Hyperbolic triangle,
• Hyperbolic motion,
• Geometric group theory