Lower bound of the scalar curvature for quasi-Einstein metrics

DOI10.1016/j.difgeo.2021.101738zbMath1466.53046OpenAlexW3129911704WikidataQ115354608 ScholiaQ115354608MaRDI QIDQ2022427

Wang Shen, Lin-Feng Wang

Publication date: 29 April 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2021.101738

zbMATH Keywords

scalar curvaturepotential functionquasi-Einstein metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Poisson equation on complete manifolds
• Rigid properties of quasi-Einstein metrics
• Compact Einstein warped product spaces with nonpositive scalar curvature
• On the completeness of gradient Ricci solitons
• Curvature Estimates and Gap Theorems for Expanding Ricci Solitons

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