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Some obstructions to positive scalar curvature on a noncompact manifold

Differential Geometry 2025-09-23 v3

Abstract

We give obstructions for a noncompact manifold to admit a complete Riemannian metric with (nonuniformly) positive scalar curvature. We treat both the finite volume and infinite volume cases.

Keywords

Cite

@article{arxiv.2402.13239,
  title  = {Some obstructions to positive scalar curvature on a noncompact manifold},
  author = {John Lott},
  journal= {arXiv preprint arXiv:2402.13239},
  year   = {2025}
}

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final version