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- W4300407893 abstract "In this article, we introduce a mass-decreasing flow for asymptotically flat three-manifolds with nonnegative scalar curvature. This flow is defined by iterating a suitable Ricci flow with surgery and conformal rescalings and has a number of nice properties. In particular, wormholes pinch off and nontrivial spherical space forms bubble off in finite time. Moreover, a noncompact variant of the Perelman-energy is monotone along the flow. Assuming a certain inequality between the mass and this Perelman-energy a priori, we can prove that the flow squeezes out all the initial mass." @default.
- W4300407893 created "2022-10-03" @default.
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- W4300407893 date "2011-07-16" @default.
- W4300407893 modified "2023-09-23" @default.
- W4300407893 title "A mass-decreasing flow in dimension three" @default.
- W4300407893 doi "https://doi.org/10.48550/arxiv.1107.3220" @default.
- W4300407893 hasPublicationYear "2011" @default.
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