Dynamical stability and instability of Poincaré-Einstein manifolds

DOI10.1007/s00526-024-02890-7MaRDI QIDQ6657168

Klaus Kröncke, Louis Yudowitz

Publication date: 6 January 2025

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Ricci flows (53E20)

Cites Work

• Volume comparison of conformally compact manifolds with scalar curvature \(R\geq -n(n-1)\)
• Stability of hyperbolic space under Ricci flow
• Dynamical stability and instability of Ricci-flat metrics
• Propagateurs et commutateurs en relativité générale
• Einstein metrics and complex structures
• Deforming the metric on complete Riemannian manifolds
• Three-manifolds with positive Ricci curvature
• Dynamical (in)stability of Ricci-flat ALE metrics along the Ricci flow
• Stability of Einstein metrics under Ricci flow
• On uniqueness of tangent cones for Einstein manifolds
• Stability of symmetric spaces of noncompact type under Ricci flow
• Stability and instability of Ricci solitons
• Stability of hyperbolic manifolds with cusps under Ricci flow
• Semi-classical stability of AdS NUT instantons
• Fredholm operators and Einstein metrics on conformally compact manifolds
• Analytic Functions in Banach Spaces

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