2019/10/06 by Canjun Meng, Han Wang, Wei Zhao · 7 citations
Mathematics · #Advanced Harmonic Analysis Research #Complement (music) #Curvature #Geometric Analysis and Curvature Flows #Inequality #Nonlinear Partial Differential Equations #Ricci curvature #Riemannian manifold #Sectional curvature #Type (biology) #math.DG
paper · pdf · doi:10.1017/prm.2020.47
published in Proceedings of the Royal Society of Edinburgh Section A Mathematics 151(3), 993-1020 (Cambridge University Press)
arxiv created 2019/10/06 · openalex created_date 2019/10/10 · openalex publication_date 2020/07/21 · arxiv updated 2021/07/01 · openalex updated_date 2026/08/05
The article is devoted to Hardy type inequalities on closed manifolds. By means of various weighted Ricci curvatures, we establish several sharp Hardy type inequalities on closed weighted Riemannian manifolds. Our results complement in several aspects those obtained recently in the non-compact Riemannian setting.