Add to ORKGThis paper is devoted to the study of sets of finite perimeter in RCD(K,N) metric measure spaces. Its aim is to complete the picture of the generalization of De Giorgi’s theorem within this framework. Starting from the results of Ambrosio et al. (2019) we obtain uniqueness of tangents and rectifiability for the reduced boundary of sets of finite perimeter. As an intermediate tool, of independent interest, we develop a Gauss–Green integration-by-parts formula tailored to this setting. These results are new and non-trivial even in the setting of Ricci limits
In this paper, we give the characterization of metric measure spaces that satisfy synthetic lower Ri...
In this note we give simplified proofs of rectifiability of RCD(K,N) spaces as metric measure spaces...
We solve a conjecture raised by Kapovitch, Lytchak, and Petrunin by showing that the metric measure ...
This paper is devoted to the study of sets of finite perimeter in RCD(K,N) metric measure spaces. It...
This note is dedicated to the study of the asymptotic behaviour of sets of finite perimeter over RCD...
This note is dedicated to the study of the asymptotic behaviour of sets of finite perimeter over RCD...
The aim of this paper is threefold. We first prove that, on RCD(K, N) spaces, the boundary measure o...
We prove that a metric measure space $(X,d,m)$ satisfying finite dimensional lower Ricci curvature b...
We study a measure-theoretic notion of connectedness for sets of finite perimeter in the setting of ...
This thesis is about some recent developments on Geometric Analysis and Geometric Measure Theory on ...
summary:We study finite perimeter sets in step 2 Carnot groups. In this way we extend the classical ...
summary:We study finite perimeter sets in step 2 Carnot groups. In this way we extend the classical ...
This thesis is devoted to the study of structural properties of non-smooth spaces with Ricci curvatu...
summary:We study finite perimeter sets in step 2 Carnot groups. In this way we extend the classical ...
In this note we give simplified proofs of rectifiability of RCD(K,N) spaces as metric measure spaces...
In this paper, we give the characterization of metric measure spaces that satisfy synthetic lower Ri...
In this note we give simplified proofs of rectifiability of RCD(K,N) spaces as metric measure spaces...
We solve a conjecture raised by Kapovitch, Lytchak, and Petrunin by showing that the metric measure ...
This paper is devoted to the study of sets of finite perimeter in RCD(K,N) metric measure spaces. It...
This note is dedicated to the study of the asymptotic behaviour of sets of finite perimeter over RCD...
This note is dedicated to the study of the asymptotic behaviour of sets of finite perimeter over RCD...
The aim of this paper is threefold. We first prove that, on RCD(K, N) spaces, the boundary measure o...
We prove that a metric measure space $(X,d,m)$ satisfying finite dimensional lower Ricci curvature b...
We study a measure-theoretic notion of connectedness for sets of finite perimeter in the setting of ...
This thesis is about some recent developments on Geometric Analysis and Geometric Measure Theory on ...
summary:We study finite perimeter sets in step 2 Carnot groups. In this way we extend the classical ...
summary:We study finite perimeter sets in step 2 Carnot groups. In this way we extend the classical ...
This thesis is devoted to the study of structural properties of non-smooth spaces with Ricci curvatu...
summary:We study finite perimeter sets in step 2 Carnot groups. In this way we extend the classical ...
In this note we give simplified proofs of rectifiability of RCD(K,N) spaces as metric measure spaces...
In this paper, we give the characterization of metric measure spaces that satisfy synthetic lower Ri...
In this note we give simplified proofs of rectifiability of RCD(K,N) spaces as metric measure spaces...
We solve a conjecture raised by Kapovitch, Lytchak, and Petrunin by showing that the metric measure ...