Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rectifiability of the reduced boundary for sets of finite perimeter over
  RCD$(K,N)$ spaces   This note is devoted to the study of sets of finite perimeter over RCD$(K,N)$
metric measure spaces. Its aim is to complete the picture about the
generalization of De Giorgi's theorem within this framework. Starting from the
results of [2] we obtain uniqueness of tangents and rectifiability for the
reduced boundary of sets of finite perimeter. As an intermediate tool, of
independent interest, we develop a Gauss-Green integration by parts formula
tailored to this setting. These results are new and non-trivial even in the
setting of Ricci limits.

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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: physics