Manifolds with a weighted Poincaré inequality

DOI10.1090/S0002-9939-2014-11971-XzbMath1296.53113OpenAlexW2035206001MaRDI QIDQ5401520

Chiung-Jue Anna Sung, Nguyen Thac Dung

Publication date: 13 March 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-11971-x

zbMATH Keywords

spectrumRicci curvatureweighted Poincaré inequality

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items

Vanishing properties of $p$-harmonic $\ell$-forms on Riemannian manifolds ⋮ Vanishing theorems for \(L^2\) harmonic \(p\)-forms on Riemannian manifolds with a weighted \(p\)-Poincaré inequality ⋮ Vanishing theorems for Riemannian manifolds with nonnegative scalar curvature and weighted \(p\)-Poincaré inequality ⋮ Unnamed Item ⋮ \(L^2_f\)-harmonic \(1\)-forms on smooth metric measure spaces with positive \(\lambda_1(\Delta_f)\) ⋮ Vanishing theorems for complete Riemannian manifolds with nonnegative scalar curvature

Cites Work

• Harmonic forms on manifolds with weighted Poincaré inequality
• On conformally compact Einstein manifolds.
• Complete manifolds with positive spectrum
• Smooth metric measure spaces with weighted Poincaré inequality
• Results on a weighted Poincaré inequality of complete manifolds
• Eigenforms of the laplacian on complete riemannian manifolds
• Weighted Poincaré inequality and rigidity of complete manifolds
• Connectedness of the boundary in the AdS/CFT correspondence
• Boundaries of zero scalar curvature in the AdS/CFT correspondence