Hamilton's Ricci Flow

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Ricci–Yamabe maps for Riemannian flows and their volume variation and volume entropy (2017, methodology): “Recalling that for α = 1 and β = 0 we have a Ricci flow we re-obtain the result of [8] that (1.”
Immortal homogeneous Ricci flows (2017, background): “36 in [CLN06], there exists a subsequence ( (gskl (t))t∈[1,∞) ) l∈N of Ricci flow solutions, where we again set gsk := gskl , which converges to a limit Ricci flow solution (g∞(t))t∈[1,∞) on Bπ.”
The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion (2017, background): “Perelman in 2003 was one of biggest success stories of Mathematics in the 21st century, see [88, 193].”
Ricci flow on asymptotically Euclidean manifolds (2016, background): “ar curvature R= O(r−2−σ), |∇f| is bounded from(A.4). Therefore the metric gis a complete steady Ricci soliton, i.e., the vector ﬁeld ∇fis complete. By the standard result in Ricci ﬂow, for example in [12], there exists an eternal solution g(t)(−∞ <t<∞) of the Ricci ﬂow with g(0) = g such that ”