Surgery and the Yamabe invariant

Jimmy Petean; Gabjin Yun

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arXiv · math/9808052

Surgery and the Yamabe invariant

Jimmy Petean·Gabjin Yun

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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 .

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BibTeX RIS

Jimmy Petean, Gabjin Yun. 1998-08-11. Surgery and the Yamabe invariant. https://arxiv.org/abs/math/9808052

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