A variational characterization of flat spaces in dimension three
Differential Geometry
2016-03-30 v1
Abstract
In this short note we prove that, in dimension three, flat metrics are the only complete metrics with non-negative scalar curvature which are critical for the -curvature functional.
Keywords
Cite
@article{arxiv.1406.0990,
title = {A variational characterization of flat spaces in dimension three},
author = {Giovanni Catino and Paolo Mastrolia and Dario D. Monticelli},
journal= {arXiv preprint arXiv:1406.0990},
year = {2016}
}