Linear and dynamical stability of Ricci-flat metrics

DOI10.1215/S0012-7094-06-13311-2zbMath1103.53040arXivmath/0410062OpenAlexW1988620897MaRDI QIDQ2496921

Natasa Sesum

Publication date: 25 July 2006

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410062

zbMATH Keywords

K3-surfacesstability in Ricci-flows

Mathematics Subject Classification ID

Related Items (29)

Stability of Kähler-Ricci flow ⋮ Stability of Einstein metrics on fiber bundles ⋮ Stability of ALE Ricci-flat manifolds under Ricci flow ⋮ Weak stability of Ricci expanders with positive curvature operator ⋮ Local and global scalar curvature rigidity of Einstein manifolds ⋮ The stability of generalized Ricci solitons ⋮ Hermitian curvature flow ⋮ Laplacian Flow for Closed $$\mathrm{G}_2$$ Structures ⋮ Stability of complex hyperbolic space under curvature-normalized Ricci flow ⋮ Perelman's \(\lambda \)-functional on manifolds with conical singularities ⋮ Dynamical stability and instability of Ricci-flat metrics ⋮ Dynamic instability of \(\mathbb {CP}^N\) under Ricci flow ⋮ The stability inequality for Ricci-flat cones ⋮ On the dynamical behaviour of the generalized Ricci flow ⋮ Convergence of Ricci flow solutions to Taub-NUT ⋮ Perelman's lambda-functional and the stability of Ricci-flat metrics ⋮ The gradient flow of the \(L^2\) curvature functional with small initial energy ⋮ On the stability of Einstein manifolds ⋮ A heat flow for special metrics ⋮ A class of three-dimensional Ricci solitons ⋮ Compact Hermitian symmetric spaces, coadjoint orbits, and the dynamical stability of the Ricci flow ⋮ The canonical Einstein metric on G2 is dynamically unstable under the Ricci flow ⋮ Convergence stability for Ricci flow ⋮ Convergence and stability of locally \(\mathbb R^N\)-invariant solutions of Ricci flow ⋮ Kähler stability of symplectic forms ⋮ Perelman’s entropies for manifolds with conical singularities ⋮ Stability and instability of Ricci solitons ⋮ Stable and unstable Einstein warped products ⋮ Dynamical (in)stability of Ricci-flat ALE metrics along the Ricci flow

Cites Work

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