Functional inequalities and manifolds with nonnegative weighted Ricci curvature

DOI10.21136/CMJ.2019.0214-18OpenAlexW2991563541MaRDI QIDQ3297014

Jing Mao

Publication date: 2 July 2020

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2019.0214-18

zbMATH Keywords

volume comparisonweighted Ricci curvatureCaffarelli-Kohn-Nirenberg type inequality

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items

Unnamed Item

Cites Work

• Spherical symmetrization and the first eigenvalue of geodesic disks on manifolds
• The Gagliardo-Nirenberg inequalities and manifolds of non-negative Ricci curvature
• Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. I
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Comparison geometry for the Bakry-Emery Ricci tensor
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• On manifolds with non-negative Ricci curvature and Sobolev inequalities
• Complete manifolds with nonnegative Ricci curvature and almost best Sobolev constant
• Some geometric properties of the Bakry-Émery-Ricci tensor
• Sobolev spaces on Riemannian manifolds
• Compactification and maximal diameter theorem for noncompact manifolds with radial curvature bounded below
• Ricci curvature and the topology of open manifolds
• Eigenvalue inequalities for the \(p\)-Laplacian on a Riemannian manifold and estimates for the heat kernel
• The Caffarelli-Kohn-Nirenberg inequalities on complete manifolds
• Generalized space forms
• THE GAGLIARDO-NIRENBERG INEQUALITIES AND MANIFOLDS WITH NON-NEGATIVE WEIGHTED RICCI CURVATURE
• Complete manifolds with non-negative Ricci curvature and the Caffarelli–Kohn–Nirenberg inequalities
• OPEN MANIFOLD WITH NONNEGATIVE RICCI CURVATURE AND COLLAPSING VOLUME
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item