Einstein metrics and Yamabe invariants of weighted projective spaces
Differential Geometry
2013-04-22 v2
Abstract
An orbifold version of the Hitchin-Thorpe inequality is used to prove that certain weighted projective spaces do not admit orbifold Einstein metrics. Also, several estimates for the orbifold Yamabe invariants of weighted projective spaces are proved.
Keywords
Cite
@article{arxiv.1206.1285,
title = {Einstein metrics and Yamabe invariants of weighted projective spaces},
author = {Jeff A. Viaclovsky},
journal= {arXiv preprint arXiv:1206.1285},
year = {2013}
}
Comments
15 pages; revised version to appear in Tohoku Mathematical Journal