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On the geometry of some Equivariantly related manifolds

Differential Geometry 2022-12-20 v1

Abstract

We provide a topological procedure to obtain geometric realizations of both classical and `exotic' GG-manifolds, such as spheres, bundles over spheres and Kervaire manifolds. As an application, we apply the process known as Cheeger deformations to produce new metrics of both positive Ricci and almost non-negative curvature on such objects.

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Cite

@article{arxiv.1708.07541,
  title  = {On the geometry of some Equivariantly related manifolds},
  author = {Llohann D. Sperança and Leonardo F. Cavenaghi},
  journal= {arXiv preprint arXiv:1708.07541},
  year   = {2022}
}

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25 pages