Poincaré inequality for one forms on four manifolds with bounded Ricci curvature
In this short note, we provide a quantitative global Poincar´e inequality for one forms on a closed Riemannian four manifold, in terms of an upper bound on the diameter, a positive lower bound on the volume, and a two-sided bound on Ricci curvature. This seems to be the first non-trivial result givi...
Үндсэн зохиолчид: | Honda, S, Mondino, A |
---|---|
Формат: | Journal article |
Хэл сонгох: | English |
Хэвлэсэн: |
Springer
2025
|
Ижил төстэй зүйлс
Ижил төстэй зүйлс
-
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) -
Almost euclidean isoperimetric inequalities in spaces satisfying local Ricci curvature lower bounds
-н: Cavalletti, F, зэрэг
Хэвлэсэн: (2018) -
Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds
-н: Cavalletti, F, зэрэг
Хэвлэсэн: (2016) -
Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds
-н: Cavalletti, F, зэрэг
Хэвлэсэн: (2017)