A Smooth Intrinsic Flat Limit of with Negative Curvature
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929491147751424 |
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| author | Krandel, Jared Sweeney Jr, Paul |
| author_facet | Krandel, Jared Sweeney Jr, Paul |
| contents | In 2014, Gromov asked if nonnegative scalar curvature is preserved under intrinsic flat convergence. Here we construct a sequence of closed oriented Riemannian $n$-manifolds, $n\geq 3$, with positive scalar curvature such that their intrinsic flat limit is a Riemannian manifold with negative scalar curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15332 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Smooth Intrinsic Flat Limit of with Negative Curvature Krandel, Jared Sweeney Jr, Paul Differential Geometry Metric Geometry In 2014, Gromov asked if nonnegative scalar curvature is preserved under intrinsic flat convergence. Here we construct a sequence of closed oriented Riemannian $n$-manifolds, $n\geq 3$, with positive scalar curvature such that their intrinsic flat limit is a Riemannian manifold with negative scalar curvature. |
| title | A Smooth Intrinsic Flat Limit of with Negative Curvature |
| topic | Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2406.15332 |