Unstable Einstein metrics

DOI10.1007/s00209-004-0749-6zbMath1166.53311OpenAlexW2070479793MaRDI QIDQ1779873

Christoph Böhm

Publication date: 2 June 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-004-0749-6

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Critical metrics (58E11)

Related Items (5)

Ancient solutions of the Ricci flow on bundles ⋮ Stability of Einstein metrics on fiber bundles ⋮ Stability of the non-symmetric space \(\operatorname{E}_7 / \operatorname{PSO}(8)\) ⋮ On the stability of Einstein manifolds ⋮ Variational Stability and Rigidity of Compact Einstein Manifolds

Cites Work

• Einstein metrics on principal torus bundles
• On the second derivative of the total scalar curvature
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Scalar curvature of a metric with unit volume
• Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
• Examples of compact Einstein Kähler manifolds with positive Ricci tensor
• Rigidity and stability of Einstein metrics - The case of compact symmetric spaces
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Yamabe invariants and \(\text{spin}^c\) structures
• Kodaira dimension and the Yamabe problem
• Yamabe constants and the perturbed Seiberg-Witten equations
• A variational approach for compact homogeneous Einstein manifolds
• On Einstein metrics
• Homogeneous Einstein metrics and simplicial complexes
• The Yamabe problem
• The Yamabe invariant of simply connected manifolds
• Quelques formules de variation pour une structure riemannienne
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Unstable Einstein metrics