On the topology and the boundary of N–dimensional RCD(K,N) spaces

Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds

(2020) Bang-Xian Han   ADVANCES IN MATHEMATICS

Metric-measure boundary and geodesic flow on Alexandrov spaces

(2020) Vitali Kapovitch et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Rigidity of cones with bounded Ricci curvature

(2020) Matthias Erbar et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Structure theory of metric measure spaces with lower Ricci curvature bounds

(2019) Andrea Mondino et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Constancy of the Dimension for RCD(K ,N ) Spaces via Regularity of Lagrangian Flows

(2019) Elia Brué et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

CD meets CAT

(2019) Vitali Kapovitch et al.   JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

(2019) Luigi Ambrosio et al.   MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

On quotients of spaces with Ricci curvature bounded below

(2018) Fernando Galaz-García et al.   JOURNAL OF FUNCTIONAL ANALYSIS

A Sufficient Condition to a Regular Set Being of Positive Measure on Spaces

(2018) Yu Kitabeppu   POTENTIAL ANALYSIS

Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry, II

(2017) Simon Donaldson et al.   JOURNAL OF DIFFERENTIAL GEOMETRY

A Bishop-type inequality on metric measure spaces with Ricci curvature bounded below

(2017) Yu Kitabeppu   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Sharp measure contraction property for generalized H-type Carnot groups

(2017) Davide Barilari et al.   COMMUNICATIONS IN CONTEMPORARY MATHEMATICS

Measure rigidity of Ricci curvature lower bounds

(2016) Fabio Cavalletti et al.   ADVANCES IN MATHEMATICS

Measure contraction properties of Carnot groups

(2016) Luca Rizzi   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Regularity of Einstein manifolds and the codimension 4 conjecture

(2015) Jeff Cheeger et al.   ANNALS OF MATHEMATICS

Cones over metric measure spaces and the maximal diameter theorem

(2015) Christian Ketterer   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

On the differential structure of metric measure spaces and applications

(2015) Nicola Gigli   MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows

(2015) Nicola Gigli et al.   PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

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

Monge problem in metric measure spaces with Riemannian curvature-dimension condition

(2014) Fabio Cavalletti   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

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

(2013) Tapio Rajala et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

The Monge Problem for Distance Cost in Geodesic Spaces

(2013) Stefano Bianchini et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Ricci curvatures in Carnot groups

(2013) Ludovic Rifford   Mathematical Control and Related Fields

Lower bounds on Ricci curvature and quantitative behavior of singular sets

(2012) Jeff Cheeger et al.   INVENTIONES MATHEMATICAE

Ricci flow of non-collapsed three manifolds whose Ricci curvature is bounded from below

(2011) Miles Simon   JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

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

Geometric Inequalities and Generalized Ricci Bounds in the Heisenberg Group

(2009) N. Juillet   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

An extension procedure for manifolds with boundary

(2009) Jeremy Wong   PACIFIC JOURNAL OF MATHEMATICS