Rigidity of the 1-Bakry–Émery Inequality and Sets of Finite Perimeter in RCD Spaces

From volume cone to metric cone in the nonsmooth setting

(2016) Guido De Philippis et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

Independence on p of weak upper gradients onRCDspaces

(2016) Nicola Gigli et al.   JOURNAL OF FUNCTIONAL ANALYSIS

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

(2015) Luigi Ambrosio et al.   ANNALS OF PROBABILITY

Characterization of n-rectifiability in terms of Jones’ square function: part I

(2015) Xavier Tolsa   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Characterization of n-rectifiability in terms of Jones’ square function: Part II

(2015) Jonas Azzam et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

Heat Kernel Bounds on Metric Measure Spaces and Some Applications

(2015) Renjin Jiang et al.   POTENTIAL ANALYSIS

On a measure-theoretic area formula

(2015) Valentino Magnani   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Riemannian Ricci curvature lower bounds in metric measure spaces with $\sigma $-finite measure

(2015) Luigi Ambrosio et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Metric measure spaces with Riemannian Ricci curvature bounded from below

(2014) Luigi Ambrosio et al.   DUKE MATHEMATICAL JOURNAL

On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces

(2014) Matthias Erbar et al.   INVENTIONES MATHEMATICAE

On a class of first order Hamilton–Jacobi equations in metric spaces

(2014) Luigi Ambrosio et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Equivalent definitions of BV space and of total variation on metric measure spaces

(2014) Luigi Ambrosio et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Well-posedness of Lagrangian flows and continuity equations in metric measure spaces

(2014) Luigi Ambrosio et al.   Analysis & PDE

Metric spaces with unique tangents

(2011) Enrico Le Donne   ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA

Ricci curvature for metric-measure spaces via optimal transport

(2009) John Lott et al.   ANNALS OF MATHEMATICS

Rectifiability of Sets of Finite Perimeter in Carnot Groups: Existence of a Tangent Hyperplane

(2009) Luigi Ambrosio et al.   JOURNAL OF GEOMETRIC ANALYSIS