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math.DG2026
Pseudolocality and strong uniqueness for complete Ricci flows
Shaochuang Huang, Zhuo Peng
In this paper, we prove a uniform pseudolocality theorem for smooth complete Ricci flows whose initial metrics have Ricci curvature bounded below and uniformly positive injectivity…
math.DG2026
On an invariant curvature cone along 4-dimensional Ricci flow
Hongting Ding, Shaochuang Huang, Zhuo Peng
In this paper, we study 4-dimensional complete noncompact manifolds (M,g) satisfying Rm(g) via Ricci flow. Under the additional assumption of maximal volume…
math.DG2025
A note on a diffeomorphism criterion via long-time Ricci flow
Shaochuang Huang, Zhuo Peng
In this note, we give a diffeomorphism (to ) criterion via long-time Ricci flow and show some applications. In particular, we provide an affirmative answer that the c…