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math.DG2024
Non-collapsing of Ricci shrinkers with bounded curvature
Conghan Dong, Yu Li
We establish a uniform entropy bound for simply connected Ricci shrinkers with a finite second homotopy group and a uniform curvature bound. Additionally, we extend the non-collaps…
math.DG2024
Stability for the 3D Riemannian Penrose inequality
Conghan Dong
We show that the Schwarzschild 3-manifold is stable for the 3-dimensional Riemannian Penrose inequality in the pointed measured Gromov-Hausdorff topology, modulo negligible domains…