Poincaré inequality for one forms on four manifolds with bounded Ricci curvature

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...

書目詳細資料
Main Authors:	Honda, S, Mondino, A
格式:	Journal article
語言:	English
出版:	Springer 2025

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