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Constant mean curvature spheres in homogeneous three-spheres
Journal of Differential Geometry ( IF 1.3 ) Pub Date : 2022-02-01 , DOI: 10.4310/jdg/1645207520 William H. Meeks 1 , Pablo Mira 2 , Joaquín Pérez 3 , Antonio Ros 3
Journal of Differential Geometry ( IF 1.3 ) Pub Date : 2022-02-01 , DOI: 10.4310/jdg/1645207520 William H. Meeks 1 , Pablo Mira 2 , Joaquín Pérez 3 , Antonio Ros 3
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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.
中文翻译:
均匀三球中的恒定平均曲率球
我们通过证明对于每个 $H\in\mathbb{R}$,存在一个恒定平均曲率在环境等距的独特空间中。
更新日期:2022-02-01
中文翻译:
均匀三球中的恒定平均曲率球
我们通过证明对于每个 $H\in\mathbb{R}$,存在一个恒定平均曲率在环境等距的独特空间中。