Computations of the Yamabe invariant
Differential Geometry
2007-05-23 v1
Abstract
For a compact connected manifold M of dimension n greater than 3 and with no metric of positive scalar curvature, we prove that the Yamabe invariant is unchanged under surgery on spheres of dimension different from 1, n-2 and n-1. We use this result to give new computations of the invariant in dimension four and display new examples of 4-manifolds which do not admit Einstein metrics.
Cite
@article{arxiv.math/9808053,
title = {Computations of the Yamabe invariant},
author = {Jimmy Petean},
journal= {arXiv preprint arXiv:math/9808053},
year = {2007}
}
Comments
10 pages, Latex