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A positive mass theorem for two spatial dimensions

Published 28 Feb 2012 in gr-qc and math.DG | (1202.6279v2)

Abstract: We observe that an analogue of the Positive Mass Theorem in the time-symmetric case for three-space-time-dimensional general relativity follows trivially from the Gauss-Bonnet theorem. In this case we also have that the spatial slice is diffeomorphic to $\Real<sup>2$.

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