2 citations · 6 across the 5 of their papers we have counts for
8 papers
Constancy of the dimension in codimension one and locality of the unit normal on spaces
Elia Bruè, Enrico Pasqualetto, Daniele Semola
The aim of this paper is threefold. We first prove that, on spaces, the boundary measure of any set with finite perimeter is concentrated on the -regular set…
Improved regularity estimates for Lagrangian flows on spaces
Elia Bruè, Qin Deng, Daniele Semola
This paper gives a contribution to the study of regularity of Lagrangian flows on non-smooth spaces with lower Ricci curvature bounds. The main novelties with respect to the existi…
Boundary regularity and stability for spaces with Ricci bounded below
Elia Bruè, Aaron Naber, Daniele Semola
This paper studies the structure and stability of boundaries in noncollapsed spaces, that is, metric-measure spaces with lower Ricc…
Rectifiability of RCD(K,N) spaces via -splitting maps
Elia Bruè, Enrico Pasqualetto, Daniele Semola
In this note we give new proofs of rectifiability of RCD(K,N) spaces as metric measure spaces and lower semicontinuity of the essential dimension, via -splitting maps. The argum…
Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces
Gioacchino Antonelli, Elia Bruè, Daniele Semola
The aim of this note is to generalize to the class of non collapsed RCD(K,N) metric measure spaces the volume bound for the effective singular strata obtained by Cheeger and Naber…
Polya-Szego inequality and Dirichlet -spectral gap for non-smooth spaces with Ricci curvature bounded below
Andrea Mondino, Daniele Semola
We study decreasing rearrangements of functions defined on (possibly non-smooth) metric measure spaces with Ricci curvature bounded below by and dimension bounded above by $N…