##  [Finsler Geometry](/finsler-geometry) 

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

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A generalization of Riemannian geometry in which each tangent space is equipped with a possibly nonquadratic norm (a Finsler norm) that is smooth away from the zero section and positively homogeneous, giving rise to anisotropic length measurements and a more general notion of geodesic and curvature.