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Cohomogeneity two Bazaikin spaces

Differential Geometry 2025-01-20 v1

Abstract

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.

Cite

@article{arxiv.2501.10253,
  title  = {Cohomogeneity two Bazaikin spaces},
  author = {Jason DeVito and Rachel Flores},
  journal= {arXiv preprint arXiv:2501.10253},
  year   = {2025}
}

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R2 v1 2026-06-28T21:09:26.191Z