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- W4287332679 abstract "In this paper, we study the existence of global Yamabe flow on asymptotically flat (in short, AF or ALE) manifolds. Note that the ADM mass is preserved in dimensions 3,4 and 5. We present a new general local existence of Yamabe flow on a complete Riemannian manifold with the initial metric quasi-isometric to a background metric of bounded scalar curvature. Asymptotic behaviour of the Yamabe flow on ALE manifolds is also addressed provided the initial scalar curvature is non-negative and there is a bounded subsolution to the corresponding Poisson equation. We also present a maximum principle for a very general parabolic equations on the complete Riemannian manifolds." @default.
- W4287332679 created "2022-07-25" @default.
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- W4287332679 date "2021-02-03" @default.
- W4287332679 modified "2023-09-23" @default.
- W4287332679 title "Global Yamabe flow on asymptotically flat manifolds" @default.
- W4287332679 hasPublicationYear "2021" @default.
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