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Local isoperimetric inequalities in metric measure spaces verifying measure contraction property

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 Added by Xian-Tao Huang
 Publication date 2021
  fields
and research's language is English




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We prove that on an essentially non-branching $mathrm{MCP}(K,N)$ space, if a geodesic ball has a volume lower bound and satisfies some additional geometric conditions, then in a smaller geodesic ball (in a quantified sense) we have an estimate on the isoperimetric constants.



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