Non-branching geodesics and optimal maps in strong $$CD(K,\infty )$$ C D ( K , ∞ ) -spaces

OPTIMAL MAPS IN NON BRANCHING SPACES WITH RICCI CURVATURE BOUNDED FROM BELOW

(2012) Nicola Gigli   GEOMETRIC AND FUNCTIONAL ANALYSIS

Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm

(2012) Tapio Rajala   JOURNAL OF FUNCTIONAL ANALYSIS

Local Poincaré inequalities from stable curvature conditions on metric spaces

(2011) Tapio Rajala   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Ricci curvature for metric-measure spaces via optimal transport

(2009) John Lott et al.   ANNALS OF MATHEMATICS

Existence and uniqueness of optimal maps on Alexandrov spaces

(2008) Jérôme Bertrand   ADVANCES IN MATHEMATICS

Eulerian Calculus for the Displacement Convexity in the Wasserstein Distance

(2008) Sara Daneri et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS