##  [Hyperbolic Geometry](/hyperbolic-geometry) 

  ##  [Hyperbolic Geometry](https://puremath.quantumdictionary.io/hyperbolic-geometry-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Geometry of spaces of constant negative curvature or more generally of metric spaces modeled on negatively curved metrics (for example the Poincaré disk, half-plane, or hyperboloid models). Characterized by exponential divergence of geodesics, many parallels through a point, and triangle angle sums less than Euclidean values.