From volume cone to metric cone in the nonsmooth setting

Tensorization of Cheeger energies, the space H1,1 and the area formula for graphs

(2015) Luigi Ambrosio et al.   ADVANCES IN MATHEMATICS

Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds

(2015) Luigi Ambrosio et al.   ANNALS OF PROBABILITY

Cones over metric measure spaces and the maximal diameter theorem

(2015) Christian Ketterer   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

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

(2015) Nicola Gigli et al.   JOURNAL OF GEOMETRIC ANALYSIS

Metric measure spaces with Riemannian Ricci curvature bounded from below

(2014) Luigi Ambrosio et al.   DUKE MATHEMATICAL JOURNAL

Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in $RCD (K, \infty)$ metric measure spaces

(2013) Giuseppe Savaré   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

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

(2013) Luigi Ambrosio et al.   INVENTIONES MATHEMATICAE

Heat Flow on Alexandrov Spaces

(2012) Nicola Gigli et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

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

(2012) Tapio Rajala   JOURNAL OF FUNCTIONAL ANALYSIS

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

Finsler interpolation inequalities

(2009) Shin-ichi Ohta   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS