Optimal Maps and Exponentiation on Finite-Dimensional Spaces with Ricci Curvature Bounded from Below

Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

(2013) Luigi Ambrosio et al.   INVENTIONES MATHEMATICAE

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

(2012) Nicola Gigli   GEOMETRIC AND FUNCTIONAL ANALYSIS

Local curvature-dimension condition implies measure-contraction property

(2012) Fabio Cavalletti et al.   JOURNAL OF 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

Local semiconvexity of Kantorovich potentials on non-compact manifolds

(2010) Alessio Figalli et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Localization and tensorization properties of the curvature-dimension condition for metric measure spaces

(2010) Kathrin Bacher et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Ricci curvature for metric-measure spaces via optimal transport

(2009) John Lott et al.   ANNALS OF MATHEMATICS