Stability of non compact steady and expanding gradient Ricci solitons

DOI10.1007/s00526-015-0868-4zbMath1325.53083arXiv1404.2390OpenAlexW1600310134MaRDI QIDQ745596

Alix Deruelle

Publication date: 14 October 2015

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

Full work available at URL: https://arxiv.org/abs/1404.2390

zbMATH Keywords

linear stabilitydynamical stability

Mathematics Subject Classification ID

Related Items (3)

Smoothing out positively curved metric cones by Ricci expanders ⋮ Weak stability of Ricci expanders with positive curvature operator ⋮ Expanding Kähler-Ricci solitons coming out of Kähler cones

Cites Work

• Expanding Ricci solitons asymptotic to cones
• Stability of hyperbolic space under Ricci flow
• Steady gradient Ricci soliton with curvature in \(L^1\)
• Analysis of weighted Laplacian and applications to Ricci solitons
• Dynamical stability and instability of Ricci-flat metrics
• Uniformly elliptic operators on Riemannian manifolds
• Riemannian manifolds whose Laplacians have purely continuous spectrum
• Structure at infinity of expanding gradient Ricci soliton
• Sharp logarithmic Sobolev inequalities on gradient solitons and applications
• Partial differential equations. II: Qualitative studies of linear equations
• Real analyticity of solutions of Hamilton's equation
• Deforming the metric on complete Riemannian manifolds
• Rigidity and infinitesimal deformability of Einstein metrics
• Hardy inequalities on non-compact Riemannian manifolds
• A pinching estimate for solutions of the linearized Ricci flow system on 3-manifolds
• Deformation of \(C^0\) Riemannian metrics in the direction of their Ricci curvature
• Rigidity of gradient Ricci solitons
• Stability of symmetric spaces of noncompact type under Ricci flow
• Stability and instability of Ricci solitons
• The curvature of gradient Ricci solitons
• Rotational symmetry of self-similar solutions to the Ricci flow
• Weighted Poincaré inequality and rigidity of complete manifolds
• Pointwise Bounds on Eigenfunctions and Wave Packets in N-Body Quantum Systems. III
• On the completeness of gradient Ricci solitons
• Fredholm operators and Einstein metrics on conformally compact manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Stability of non compact steady and expanding gradient Ricci solitons