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...
Үндсэн зохиолчид: | Cavalletti, F, Mondino, A |
---|---|
Формат: | Journal article |
Хэл сонгох: | English |
Хэвлэсэн: |
Springer
2016
|
Ижил төстэй зүйлс
-
Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds
-н: Cavalletti, F, зэрэг
Хэвлэсэн: (2017) -
Almost euclidean isoperimetric inequalities in spaces satisfying local Ricci curvature lower bounds
-н: Cavalletti, F, зэрэг
Хэвлэсэн: (2018) -
Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds
-н: Cavalletti, F, зэрэг
Хэвлэсэн: (2018) -
Measure rigidity of Ricci curvature lower bounds
-н: Cavalletti, F, зэрэг
Хэвлэсэн: (2015) -
Structure Theory of Metric-Measure Spaces with Lower Ricci Curvature Bounds
-н: Mondino, A, зэрэг
Хэвлэсэн: (2019)