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- W2963425878 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.
- W2963425878 created "2019-07-30" @default.
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- W2963425878 date "2012-01-01" @default.
- W2963425878 modified "2023-09-26" @default.
- W2963425878 title "A mass-decreasing flow in dimension three" @default.
- W2963425878 doi "https://doi.org/10.4310/mrl.2012.v19.n4.a15" @default.
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