Add to ORKGThis thesis is devoted to the study of structural properties of non-smooth spaces with Ricci curvature bounded from below. The first part concerns with the structure theory of RCD(K,N) spaces: we prove the existence of the so-called essential dimension, along with rectifiability properties of the regular set. This theory is a result of many contributions [43,72,91,95,109,121], in our presentation we closely follow the recent works [41,43]. The second part of this thesis deals with codimension-1 structures on RCD(K,N) spaces. More precisely we study structural properties of boundaries of sets with finite perimeter, generalising the celebrated De Giorgi theory [65, 66] to this framework. This is based on the works [7,40]
Summer school 2021. The theory of non smooth spaces with lower Ricci Curvature bounds has undergone ...
Let (M,g) be a smooth Riemannian manifold and G a compact Lie group acting on M effectively and by i...
We prove that a compact stratied space satises the Riemannian curvature-dimension condition RCD(K, N...
This thesis is devoted to the study of structural properties of non-smooth spaces with Ricci curvatu...
This thesis is about some recent developments on Geometric Analysis and Geometric Measure Theory on ...
— We propose a definition of non-collapsed space with Ricci curvature bounded from below and we prov...
We prove that a metric measure space (X,d,m) satisfying finite dimensional lower Ricci curvature bou...
In this paper, we give the characterization of metric measure spaces that satisfy synthetic lower Ri...
In a prior work of the first two authors with Savar´e, a new Riemannian notion of a lower bound for...
In prior work [4] of the first two authors with Savare', a new Riemannian notion of lower bound for ...
Let (M,g) be a smooth Riemannian manifold and G a compact Lie group acting on M effectively and by...
This thesis is primarily devoted to the study of analytic and geometric properties of metric measure...
In this paper,we give the characterization of metric measure spaces that satisfy synthetic lower Rie...
[from the introduction]: The aim of this thesis is to study metric measure spaces with a synthetic n...
We prove that a metric measure space $(X,d,m)$ satisfying finite dimensional lower Ricci curvature b...
Summer school 2021. The theory of non smooth spaces with lower Ricci Curvature bounds has undergone ...
Let (M,g) be a smooth Riemannian manifold and G a compact Lie group acting on M effectively and by i...
We prove that a compact stratied space satises the Riemannian curvature-dimension condition RCD(K, N...
This thesis is devoted to the study of structural properties of non-smooth spaces with Ricci curvatu...
This thesis is about some recent developments on Geometric Analysis and Geometric Measure Theory on ...
— We propose a definition of non-collapsed space with Ricci curvature bounded from below and we prov...
We prove that a metric measure space (X,d,m) satisfying finite dimensional lower Ricci curvature bou...
In this paper, we give the characterization of metric measure spaces that satisfy synthetic lower Ri...
In a prior work of the first two authors with Savar´e, a new Riemannian notion of a lower bound for...
In prior work [4] of the first two authors with Savare', a new Riemannian notion of lower bound for ...
Let (M,g) be a smooth Riemannian manifold and G a compact Lie group acting on M effectively and by...
This thesis is primarily devoted to the study of analytic and geometric properties of metric measure...
In this paper,we give the characterization of metric measure spaces that satisfy synthetic lower Rie...
[from the introduction]: The aim of this thesis is to study metric measure spaces with a synthetic n...
We prove that a metric measure space $(X,d,m)$ satisfying finite dimensional lower Ricci curvature b...
Summer school 2021. The theory of non smooth spaces with lower Ricci Curvature bounds has undergone ...
Let (M,g) be a smooth Riemannian manifold and G a compact Lie group acting on M effectively and by i...
We prove that a compact stratied space satises the Riemannian curvature-dimension condition RCD(K, N...