##  [Ricci Flow](/ricci-flow) 

  ##  [Ricci Flow](https://puremath.quantumdictionary.io/ricci-flow-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A geometric evolution equation for a Riemannian metric g(t) typically written ∂_t g = −2 Ric(g), where Ric(g) is the Ricci curvature tensor; it deforms the metric in time in a manner analogous to a curvature-driven heat flow.