Positive curvature and rational ellipticity in cohomogeneity three
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913864296169472 |
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| author | Samani, Elahe Khalili Radeschi, Marco |
| author_facet | Samani, Elahe Khalili Radeschi, Marco |
| contents | We prove that a closed, simply connected, positively curved, cohomogeneity-three manifold whose quotient space has no boundary is rationally elliptic, thus providing a generalization of similar results regarding rational ellipticity of homogeneous, cohomogeneity-one, and almost non-negatively curved cohomogeneity-two manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22577 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Positive curvature and rational ellipticity in cohomogeneity three Samani, Elahe Khalili Radeschi, Marco Differential Geometry 53C21, 54H15, 57S15 We prove that a closed, simply connected, positively curved, cohomogeneity-three manifold whose quotient space has no boundary is rationally elliptic, thus providing a generalization of similar results regarding rational ellipticity of homogeneous, cohomogeneity-one, and almost non-negatively curved cohomogeneity-two manifolds. |
| title | Positive curvature and rational ellipticity in cohomogeneity three |
| topic | Differential Geometry 53C21, 54H15, 57S15 |
| url | https://arxiv.org/abs/2505.22577 |