Ricci flow on asymptotically Euclidean manifolds
classification
🧮 math.DG
keywords
asymptoticallyeuclideanflowmassricciadditionconditiondimension
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In this paper, we prove that if an asymptotically Euclidean manifold $(M^n,g)$ under the condition that $R \ge 0$ has long time existence of Ricci flow, the mass of $(M^n,g)$ is nonnegative. In addition, we give an independent proof of positive mass theorem in dimension $3$.
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