About an integral inequality and rigidity of \(m\)-quasi-Einstein manifolds

DOI10.1007/s11005-023-01737-0zbMath1529.53044OpenAlexW4388465574MaRDI QIDQ6084866

Murilo Araújo, Márcio S. Santos, Allan G. Freitas

Publication date: 2 December 2023

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-023-01737-0

zbMATH Keywords

rigidity\(m\)-quasi-Einstein metricWang-Yau energy

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• On the classification of warped product Einstein metrics
• Rigidity of quasi-Einstein metrics
• Critical points of Wang-Yau quasi-local energy
• Compact hypersurfaces with constant higher order mean curvatures
• Geometric applications of the solvability of Neumann problems on a Riemannian manifold
• A functional inequality on the boundary of static manifolds
• A Generalization of Reilly's Formula and its Applications to a New Heintze–Karcher Type Inequality
• Compact Einstein warped product spaces with nonpositive scalar curvature
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations

This page was built for publication: About an integral inequality and rigidity of \(m\)-quasi-Einstein manifolds