The Yamabe invariant of simply connected manifolds
Differential Geometry
2007-05-23 v1
Abstract
We prove that the Yamabe invariant of any simply connected smooth manifold of dimension n greater than four is non-negative. Equivalently that the infimum of the L^{n/2} norm of the scalar curvature, over the space of all Riemannian metrics on the manifold, is zero.
Keywords
Cite
@article{arxiv.math/9808062,
title = {The Yamabe invariant of simply connected manifolds},
author = {Jimmy Petean},
journal= {arXiv preprint arXiv:math/9808062},
year = {2007}
}
Comments
10 pages, Latex