A positive mass theorem for two spatial dimensions

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 $\Real^2$.

3 pages, more or less trivial. Posting it because I cannot find it in the literature: comments and references to where this may have appeared before are welcome! Version 2: fixed some typos, added some remarks based on comments received