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More Extreme Limits of Manifolds with Positive Scalar Curvature

Differential Geometry 2024-06-14 v1 Analysis of PDEs

Abstract

In this article, we extend the example constructed in the paper by Sormani-Tian-Wang to build new examples that satisfy the assumptions of the conjecture by Gromov. Each of these new examples of sequence converges to a limit space with infinitely many poles in S2\mathbb{S}^2. These examples can be used to test various notions of weak scalar curvature.

Keywords

Cite

@article{arxiv.2406.08592,
  title  = {More Extreme Limits of Manifolds with Positive Scalar Curvature},
  author = {Wenchuan Tian},
  journal= {arXiv preprint arXiv:2406.08592},
  year   = {2024}
}