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- W2015461933 abstract "Assume $M$ is a closed 3-manifold whose universal covering is not $S^3$. We show that the obstruction to extend the Ricci flow is the boundedness $L^{3/2}$-norm of the scalar curvature $R(t)$, i.e, the Ricci flow can be extended over time $T$ if and only if the $||R(t)||_{L^{3/2}}$ is uniformly bounded for $0 leq t < T$ . On the other hand, if the fundamental group of $M$ is finite and the $||R(t)||_{L^{3/2}}$ is bounded for all time under the Ricci flow, then $M$ is diffeomorphic to a 3-dimensional spherical space-form." @default.
- W2015461933 created "2016-06-24" @default.
- W2015461933 creator A5015826520 @default.
- W2015461933 date "2011-01-04" @default.
- W2015461933 modified "2023-09-27" @default.
- W2015461933 title "The $L^{3/2}$-norm of the scalar curvature under the Ricci flow on a 3-manifold" @default.
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