Leafwise positive scalar curvature and the Rosenberg index
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866910814003265536 |
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| author | Su, Guangxiang Yi, Zelin |
| author_facet | Su, Guangxiang Yi, Zelin |
| contents | Let $M$ be a closed spin manifold, in this paper, we show that if there is a foliation $(M,F)$ and a Riemannian metric on $M$ that has leafwise positive scalar curvature then the Rosenberg index of $M$ is zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02325 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Leafwise positive scalar curvature and the Rosenberg index Su, Guangxiang Yi, Zelin Differential Geometry K-Theory and Homology Let $M$ be a closed spin manifold, in this paper, we show that if there is a foliation $(M,F)$ and a Riemannian metric on $M$ that has leafwise positive scalar curvature then the Rosenberg index of $M$ is zero. |
| title | Leafwise positive scalar curvature and the Rosenberg index |
| topic | Differential Geometry K-Theory and Homology |
| url | https://arxiv.org/abs/2502.02325 |