Constant mean curvature spheres in homogeneous three-spheres
classification
🧮 math.DG
keywords
constantcurvaturemeanspheresambientarbitraryclassificationcomplete
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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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