Gromov-Lawson theorem on surgery
From Diffgeom
Template:Scalar curvature result
Statement
Let be a compact manifold which carries a Riemannian metric of positive scalar curvature. Then any compact manifold obtained from by performing surgery in codimension at least 3, also admits a Riemannian metric of positive scalar curvature.
References
- The clasification of simply connected manifolds of positive scalar curvature by Mikhail Gromov and H. Blaine Lawson, Jr., The Annals of Mathematics, 2nd Ser., Vol. 111, No. 3 (May, 1980), pp. 423-434