More Extreme Limits of Manifolds with Positive Scalar Curvature

2024/06/12 by Tian, Wenchuan
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.08592

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 \mathbbS². These examples can be used to test various notions of weak scalar curvature.

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