More Extreme Limits of Manifolds with Positive Scalar Curvature

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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 S². These examples can be used to test various notions of weak scalar curvature.

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Wenchuan Tian (Wed,) studied this question.

synapsesocial.com/papers/68e651cbb6db6435875e272c https://doi.org/https://doi.org/10.48550/arxiv.2406.08592

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