Surgery and the Yamabe invariant

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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 .
14 pages, Latex

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Differential Geometry, 53C99

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http://salesiana.dossiersoluciones.com/handle/123456789/77275

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9808052
 http://arxiv.org/abs/math/9808052

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arXiv