The Yamabe invariant of simply connected manifolds

Details The Yamabe invariant of simply connected manifolds The Yamabe invariant of simply connected manifolds

1998-08-14

arxiv.org/abs/math/9808062v1

Mathematics

Differential Geometry

10 pages, Latex

Scientific paper

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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