Stability of the Ricci flow at Ricci-flat metrics

By Christine Guenther, James Isenberg, Dan Knopf. 2002

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The Logarithmic Sobolev Inequality Along the Ricci Flow: The Case $$\lambda _0(g_0)=0$$λ0(g0)=0 (2007, background): “Proof of Theorem C By [ GIK ], there is for each given flat metric g an ǫ-neighbord of g with respect to the C 6 -norm, such that the Ricci flow starting at any metric in”
Gaussian densities and stability for some Ricci solitons (2004, methodology): “mass theorem. By Guenther, Isenberg and Knopf [ GIK02 ] every K3 surface is linearly stable; more generally, by Dai, Wang and Wei [DWW04] any manifold with a parallel spinor is linearly stable.”
Recent Progress on Ricci Solitons (2009, methodology): “Following [7, 59], we examine conformal variations.”
Linear and dynamical stability of Ricci-flat metrics (2004, methodology): “where �L is just Lichnerowicz laplacian and ψg0 h = 0 for a Ricci flat metric g0 (see [ 8 ]).”
Geometric flows with rough initial data (2009, methodology): “[9]) we can argue as in the proof of Theorem 3.”
Stability of Euclidean space under Ricci flow (2007, unknown): “Šešum [4, 15].”