Cohomogeneity one actions on unit spheres

Ming Xu

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arXiv · 1707.02763

Cohomogeneity one actions on unit spheres

Ming Xu

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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 $\mathbb{H}\mathrm{P}^{m-1}$.

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BibTeX RIS

Ming Xu. 2017-07-10. Cohomogeneity one actions on unit spheres. https://arxiv.org/abs/1707.02763

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