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math.DG2026
Classification of cohomogeneity one steady gradient Ricci solitons in dimension four and five
Yuxing Deng, Guohao Wang
In this paper, we first prove Appleton's conjecuture on the uniqueness of noncollapsed steady solitons constructed in \cite{Appleton}. We also classify non-Ricci-flat -noncollap…
math.DG2026
Ancient Ricci flows with nonnegative Ricci curvature
Yuxing Deng, Ganqi Wang, Yongjia Zhang
In this paper, we study the asymptotic geometry of a noncollapsed ancient Ricci flow with nonnegative Ricci curvature via its tangent flow at infinity -- a noncollapsed $\mathbb{F}…