Surgery and the Yamabe invariant

Details Surgery and the Yamabe invariant Surgery and the Yamabe invariant

1998-08-11

arxiv.org/abs/math/9808052v1

Mathematics

Differential Geometry

14 pages, Latex

Scientific paper

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 .

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