Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds
We prove that if (X, d, m) is a metric measure space with m(X) = 1 having (in a synthetic sense) Ricci curvature bounded from below by K> 0 and dimension bounded above by N∈ [1 , ∞) , then the classic Lévy-Gromov isoperimetric inequality (together with the recent sharpening counterparts prove...
| Main Authors: | , |
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| 格式: | Journal article |
| 语言: | English |
| 出版: |
Springer
2016
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