The Yamabe invariant of simply connected manifolds

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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.
10 pages, Latex

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Differential Geometry, 53C99

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http://salesiana.dossiersoluciones.com/handle/123456789/77284

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9808062
 http://arxiv.org/abs/math/9808062

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arXiv