Odd-dimensional manifolds with infinitely many different geometries of positive Ricci curvature
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918202066337792 |
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| author | Dessai, Anand |
| author_facet | Dessai, Anand |
| contents | In every odd dimension $n\geq 5$ we exhibit large classes of closed $n$-dimensional manifolds which admit infinitely many different geometries of positive Ricci curvature, i.e., manifolds for which their moduli space of metrics of positive Ricci curvature has infinitely many connected components. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11156 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Odd-dimensional manifolds with infinitely many different geometries of positive Ricci curvature Dessai, Anand Differential Geometry Geometric Topology 53C20, 53C21, 53C27, 58D27, 58J20, 58J28, 19K56, 57R65, In every odd dimension $n\geq 5$ we exhibit large classes of closed $n$-dimensional manifolds which admit infinitely many different geometries of positive Ricci curvature, i.e., manifolds for which their moduli space of metrics of positive Ricci curvature has infinitely many connected components. |
| title | Odd-dimensional manifolds with infinitely many different geometries of positive Ricci curvature |
| topic | Differential Geometry Geometric Topology 53C20, 53C21, 53C27, 58D27, 58J20, 58J28, 19K56, 57R65, |
| url | https://arxiv.org/abs/2511.11156 |