Conformal product structures on compact manifolds with constant sectional curvature
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913146374979584 |
|---|---|
| author | Jiang, Xianfeng |
| author_facet | Jiang, Xianfeng |
| contents | We prove that compact non-flat manifolds with constant sectional curvature admit no conformal product structure. Furthermore, we demonstrate that the methods extend naturally to irreducible, compact locally symmetric spaces of non-positive curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19818 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conformal product structures on compact manifolds with constant sectional curvature Jiang, Xianfeng Differential Geometry We prove that compact non-flat manifolds with constant sectional curvature admit no conformal product structure. Furthermore, we demonstrate that the methods extend naturally to irreducible, compact locally symmetric spaces of non-positive curvature. |
| title | Conformal product structures on compact manifolds with constant sectional curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2605.19818 |