More Extreme Limits of Manifolds with Positive Scalar Curvature
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914833506500608 |
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| author | Tian, Wenchuan |
| author_facet | Tian, Wenchuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08592 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | More Extreme Limits of Manifolds with Positive Scalar Curvature Tian, Wenchuan Differential Geometry Analysis of PDEs 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. |
| title | More Extreme Limits of Manifolds with Positive Scalar Curvature |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2406.08592 |