Proves topological and geometric gap theorems for 4D non-compact manifolds with curvature operator in C_η,μ under Ricci flow assuming maximal volume growth, plus regularity results for GH limits of volume non-collapsed 4D manifolds with lower bound on the cone.
Greene, Peter Petersen, and Shun-Hui Zhu,Riemannian manifolds of faster- than-quadratic curvature decay, Internat
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On an invariant curvature cone along 4-dimensional Ricci flow
Proves topological and geometric gap theorems for 4D non-compact manifolds with curvature operator in C_η,μ under Ricci flow assuming maximal volume growth, plus regularity results for GH limits of volume non-collapsed 4D manifolds with lower bound on the cone.