Cohomogeneity one actions on unit spheres

Ming Xu

Cohomogeneity one actions on unit spheres

Differential Geometry 2017-07-12 v2

Authors: Ming Xu

Abstract

In this paper, we provide a complete classification for all the isometric cohomogeneity one actions on unit spheres. Using this theory, we can very easily classify all the isometric cohomogeneity one actions on the Riemannian symmetric spaces $\mathbb{C}\mathrm{P}^{m-1}$ and $\mathbb{H}\mathrm{P}^{m-1}$ .

Keywords

group actions on manifolds group actions cohomology

Cite

@article{arxiv.1707.02763,
  title  = {Cohomogeneity one actions on unit spheres},
  author = {Ming Xu},
  journal= {arXiv preprint arXiv:1707.02763},
  year   = {2017}
}

Comments

The author has recently found the reference which had provided the full classification of cohomogeneity one actions on unit spheres

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