Almost positively curved generalized Eschenburg spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909917032480768 |
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| author | DeVito, Jason West, Joan |
| author_facet | DeVito, Jason West, Joan |
| contents | In each dimension of the form $4n-1$ with $n\geq 3$, we construct infinitely many new examples of manifolds admitting metrics with positive sectional curvature almost everywhere. In addition, we show that if $n\geq 6$, infinitely many of our examples are not homotopy equivalent to any homogeneous space, providing the first infinite family of such examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17751 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Almost positively curved generalized Eschenburg spaces DeVito, Jason West, Joan Differential Geometry 53C30, 53C20 In each dimension of the form $4n-1$ with $n\geq 3$, we construct infinitely many new examples of manifolds admitting metrics with positive sectional curvature almost everywhere. In addition, we show that if $n\geq 6$, infinitely many of our examples are not homotopy equivalent to any homogeneous space, providing the first infinite family of such examples. |
| title | Almost positively curved generalized Eschenburg spaces |
| topic | Differential Geometry 53C30, 53C20 |
| url | https://arxiv.org/abs/2511.17751 |