A positive mass theorem for two spatial dimensions
General Relativity and Quantum Cosmology
2012-03-02 v2 Differential Geometry
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 .
Cite
@article{arxiv.1202.6279,
title = {A positive mass theorem for two spatial dimensions},
author = {Willie Wai-Yeung Wong},
journal= {arXiv preprint arXiv:1202.6279},
year = {2012}
}
Comments
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