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math.DG1998
The Yamabe invariant of simply connected manifolds
Jimmy Petean
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 th…
math.DG1998
Computations of the Yamabe invariant
Jimmy Petean
For a compact connected manifold M of dimension n greater than 3 and with no metric of positive scalar curvature, we prove that the Yamabe invariant is unchanged under surgery on s…
math.DG1998
Surgery and the Yamabe invariant
Jimmy Petean, Gabjin Yun
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…