Compact gradient Einstein-type manifolds with boundary satisfying the weakly Einstein condition

DOI10.1016/j.geomphys.2023.104792OpenAlexW4321768979MaRDI QIDQ2696141

Xiaomin Chen

Publication date: 6 April 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2023.104792

zbMATH Keywords

Einstein manifoldconstant scalar curvatureweakly Einsteingradient Einstein-type manifoldwith boundary

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• The classification of \((m, \rho)\)-quasi-Einstein manifolds
• Some rigidity results on critical metrics for quadratic functionals
• A curvature identity on a 4-dimensional Riemannian manifold
• Weakly Einstein critical metrics of the volume functional on compact manifolds with boundary
• On the geometry of gradient Einstein-type manifolds
• WEAKLY EINSTEIN CRITICAL POINT EQUATION
• Quelques formules de variation pour une structure riemannienne

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