Circle actions and scalar curvature

@article{Wiemeler2013CircleAA,
  title={Circle actions and scalar curvature},
  author={Michael Wiemeler},
  journal={arXiv: Geometric Topology},
  year={2013}
}
We construct metrics of positive scalar curvature on manifolds with circle actions. One of our main results is that there exist $S^1$-invariant metrics of positive scalar curvature on every $S^1$-manifold which has a fixed point component of codimension 2. As a consequence we can prove that there are non-invariant metrics of positive scalar curvature on many manifolds with circle actions. Results from equivariant bordism allow us to show that there is an invariant metric of positive scalar… Expand
5 Citations
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