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...
| Main Authors: | , , |
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| Format: | Journal article |
| Sprog: | English |
| Udgivet: |
Scuola Normale Superiore - Edizioni della Normale
2022
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