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The Yamabe invariant of simply connected manifolds

Jimmy Petean
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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.

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Jimmy Petean. 1998-08-14. The Yamabe invariant of simply connected manifolds. https://arxiv.org/abs/math/9808062

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