Corpus ID: 118444347

Constant mean curvature spheres in homogeneous three-spheres

@article{Meeks2013ConstantMC,
  title={Constant mean curvature spheres in homogeneous three-spheres},
  author={William H. Iii Meeks and Pablo Mira and Joaqu{\'i}n P{\'e}rez and Antonio Ros},
  journal={arXiv: Differential Geometry},
  year={2013}
}
We give a complete classification of the immersed constant mean curvature spheres in a three-sphere with an arbitrary homogenous metric, by proving that for each $H\in\mathbb{R}$, there exists a constant mean curvature $H$-sphere in the space that is unique up to an ambient isometry. 

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