Constant mean curvature spheres in homogeneous three-spheres

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.

arXiv comment23 pages, 1 figure; corrected an entry in references list

Cited by in corpus (1)

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