Monotonicity formula and stratification of the singular set of perimeter minimizers in RCD spaces

The goal of this paper is to establish a monotonicity formula for perimeter minimizing sets in RCD(0,N) metric measure cones, together with the associated rigidity statement. The applications include sharp Hausdorff dimension estimates for the singular strata of perimeter minimizing sets in non coll...

Full description

Bibliographic Details
Main Authors: Fiorani, F, Mondino, A, Semola, D
Format: Internet publication
Language:English
Published: 2023