##  [Hyperbolic Plane](/hyperbolic-plane) 

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

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The hyperbolic plane is the two-dimensional complete Riemannian manifold (or metric space model) of constant negative curvature, realizable by models such as the Poincaré disk, the upper half-plane with the hyperbolic metric, or the Klein model.