Diameter estimate for a class of compact generalized quasi-Einstein manifolds

DOI10.3906/mat-2106-93zbMath1500.53067OpenAlexW3199461043MaRDI QIDQ5099163

Deng YiHua

Publication date: 31 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2106-93

zbMATH Keywords

maximum principleBochner formulageneralized quasi-Einstein manifoldslower diameter estimate

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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• Generalized quasi-Einstein manifolds with harmonic anti-self dual Weyl tensor
• On generalized \(m\)-quasi-Einstein manifolds with constant Ricci curvatures
• The classification of \((m, \rho)\)-quasi-Einstein manifolds
• Lower diameter bounds for compact shrinking Ricci solitons
• The Bakry-Emery Ricci tensor and its applications to some compactness theorems
• Generalized quasi-Einstein manifolds with harmonic Weyl tensor
• Characterizations and integral formulae for generalized \(m\)-quasi-Einstein metrics
• Comparison geometry for the Bakry-Emery Ricci tensor
• Remark on a diameter bound for complete Riemannian manifolds with positive Bakry-Émery Ricci curvature
• Diameter estimate for compact quasi-Einstein metrics
• A compact gradient generalized quasi-Einstein metric with constant scalar curvature
• Conformal diffeomorphisms of gradient Ricci solitons and generalized quasi-Einstein manifolds
• A note on gradient generalized quasi-Einstein manifolds
• On the first eigenvalue of the Witten-Laplacian and the diameter of compact shrinking solitons
• A Myers-type compactness theorem by the use of Bakry-Emery Ricci tensor
• Elliptic Partial Differential Equations of Second Order

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