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Local isoperimetric inequalities in metric measure spaces verifying measure contraction property (2109.07530v1)
Published 15 Sep 2021 in math.MG and math.DG
Abstract: 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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