Surgery and the Yamabe invariant
Differential Geometry
2007-05-23 v1
Abstract
We study the Yamabe invariant of manifolds obtained as connected sums along submanifolds of codimension greater than 2. In particular, given a compact smooth manifold M which does not admit metrics of positive scalar curvature, we prove that the Yamabe invariant of M is an upper bound for the Yamabe invariant of any manifold obtained by performing surgery in M on spheres of codimension greater than 2 .
Cite
@article{arxiv.math/9808052,
title = {Surgery and the Yamabe invariant},
author = {Jimmy Petean and Gabjin Yun},
journal= {arXiv preprint arXiv:math/9808052},
year = {2007}
}
Comments
14 pages, Latex