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 . 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}
}