Some compactness results by elliptic operators

DOI10.1080/25742558.2020.1857577zbMath1486.53039OpenAlexW3120328714MaRDI QIDQ4997710

Seyed Hamed Fatemi, Shahroud Azami

Publication date: 30 June 2021

Published in: Cogent Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/25742558.2020.1857577

zbMATH Keywords

Bochner techniqueMyers' theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

• Compactness in weighted manifolds and applications
• A theorem of Myers
• Comparison geometry for the Bakry-Emery Ricci tensor
• Eigenvalue estimates for a class of elliptic differential operators on compact manifolds
• Myers and Hawking theorems: geometry for the limits of the universe
• A generalization of Myers theorem and an application to relativistic cosmology
• Myers' type theorem with the Bakry-Émery Ricci tensor
• Eigenvalue estimates for a class of elliptic differential operators in divergence form
• Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
• On a theorem of Ambrose
• Energy density and spatial curvature in general relativity

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