Constancy of the dimension in codimension one and locality of the unit normal on RCD(K,N) spaces

Constancy of the dimension in codimension one and locality of the unit normal on RCD(K,N) spaces

The aim of this paper is threefold. We first prove that, on RCD(K, N) spaces, the boundary measure of any set with finite perimeter is concentrated on the n-regular set Rn, where n ≤ N is the essential dimension of the space. After, we discuss localization properties of the unit normal providing rep...

Полное описание

Библиографические подробности
Главные авторы:	Bruè, E, Pasqualetto, E, Semola, D
Формат:	Journal article
Язык:	English
Опубликовано:	Scuola Normale Superiore - Edizioni della Normale 2022

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