度量测度空间中证明测度收缩性的局部等周不等式
Local isoperimetric inequalities in metric measure spaces verifying measure contraction property
摘要：
证明了在本质上无分支的$\mathrm{MCP}(K,N)$空间上，如果测地线球有体积下界并满足一些附加的几何条件，那么在更小的测地线球上（在量化意义上），我们有等周常数的一个估计.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
