Gromov-Lawson theorem on spin structure
Template:Scalar curvature result
Statement
A closed simply connected manifold of dimension at least 5 satisfies at least one of these two conditions:
- It has a Riemannian metric admitting a spin structure
- It has a Riemannian metric with 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
- Positive scalar curvature with symmetry by Bernhard Hanke