Cohomogeneity two Bazaikin spaces
Fuente:
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_ | 1866910788502945792 |
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| author | DeVito, Jason Flores, Rachel |
| author_facet | DeVito, Jason Flores, Rachel |
| contents | We study the sectional curvature of all of the cohomogeneity two Bazaikin spaces with respect to a Riemannian metric construction due to Wilking. We show that, in contrast to the cohomogeneity one and homogeneous case, for all of the cohomogeneity two examples, the set of points with strictly positive curvature does not have full measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10253 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cohomogeneity two Bazaikin spaces DeVito, Jason Flores, Rachel Differential Geometry 53C30, 53C20 We study the sectional curvature of all of the cohomogeneity two Bazaikin spaces with respect to a Riemannian metric construction due to Wilking. We show that, in contrast to the cohomogeneity one and homogeneous case, for all of the cohomogeneity two examples, the set of points with strictly positive curvature does not have full measure. |
| title | Cohomogeneity two Bazaikin spaces |
| topic | Differential Geometry 53C30, 53C20 |
| url | https://arxiv.org/abs/2501.10253 |