 ##  [Optimal Transport Geometry](/optimal-transport-geometry) 

  ##  [Optimal Transport Geometry](https://puremath.quantumdictionary.io/optimal-transport-geometry-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

The study of metric and geometric structures induced by optimal transport costs (notably Wasserstein distances) on spaces of probability measures, linking mass displacement problems to analysis, partial differential equations, and Riemannian-type geometry on measure spaces.