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The long-time behavior of 3-dimensional Ricci flow on certain topologies

The long-time behavior of 3-dimensional Ricci flow on certain topologies

Abstract In this paper we analyze the long-time behavior of 3-dimensional Ricci flow with surgery. We prove that under the topological condition that the initial manifold only has non-aspherical or hyperbolic components in its geometric decomposition, there are only finitely many surgeries and the curvature is bounded by C <m:math …