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arXiv · 2406.08592

More Extreme Limits of Manifolds with Positive Scalar Curvature

Wenchuan Tian
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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 $\mathbb{S}^2$. These examples can be used to test various notions of weak scalar curvature.

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Wenchuan Tian. 2024-06-12. More Extreme Limits of Manifolds with Positive Scalar Curvature. https://arxiv.org/abs/2406.08592

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