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arXiv · 1308.2612

Constant mean curvature spheres in homogeneous three-spheres

William H. Meeks III·Pablo Mira·Joaquin Perez·Antonio Ros
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Abstract

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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William H. Meeks III, Pablo Mira, Joaquin Perez, Antonio Ros. 2013-08-14. Constant mean curvature spheres in homogeneous three-spheres. https://arxiv.org/abs/1308.2612

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