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...

Szczegółowa specyfikacja

Opis bibliograficzny
Główni autorzy: Honda, S, Mondino, A
Format: Journal article
Język:English
Wydane: Springer 2025