Lawson-Yau theorem

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Template:Scalar curvature result

Statement

If a compact connected manifold is equipped with an effective action of a compact Lie group whose identity component is non-Abelian, it admits a Riemannian metric of positive scalar curvature which is invariant under the group action.

References

  • Scalar curvature, non-Abelian group actions, and the degree of symmetry of exotic spheres by H. Blaine Lawson, Jr., and S.T. Yau, Comment. Math. Helv. 49 (1974), 232-244
  • Positive scalar curvature with symmetry by Bernhard Yanke

External links