In RCD(K,N) spaces, the reduced boundary of a set of finite perimeter has a unique Euclidean half-space tangent at almost every point and is rectifiable by bi-Lipschitz charts.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.MG 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Rectifiability of the reduced boundary for sets of finite perimeter over RCD$(K,N)$ spaces
In RCD(K,N) spaces, the reduced boundary of a set of finite perimeter has a unique Euclidean half-space tangent at almost every point and is rectifiable by bi-Lipschitz charts.