Calculus of Variations and Geometric Measure Theory
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N. Gigli

On the relation between the curvature-dimension condition and the Bochner inequality

created by gigli on 13 Mar 2012



Inserted: 13 mar 2012
Last Updated: 13 mar 2012

Year: 2012


We show that on smooth manifolds there exists a direct link between the Bochner in- equality and the (reduced) curvature-dimension condition: they can be seen, respectively, as the Eulerian and the Lagrangian point of view on Ricci curvature bounds.


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