Kodaira dimension and the Yamabe problem
Kodaira dimension and the Yamabe problem
The Yamabe invariant Y{M) of a smooth compact manifold is roughly the supremum of the scalar curvatures of unit-volume constant-scalar-curvature Riemannian metrics g on M. (To be absolutely precise, one only considers constant-scalar-curvature metrics which are Yamabe minimizers, but this does not affect the sign of the answer.)If M is …