Author:
Meeks William H.,Mira Pablo,Pérez Joaquín,Ros Antonio
Abstract
AbstractWe prove that two spheres of the same constant mean curvature in an arbitrary homogeneous three-manifold only differ by an ambient isometry, and we determine the values of the mean curvature for which such spheres exist. This gives a complete classification of immersed constant mean curvature spheres in three-dimensional homogeneous manifolds.
Publisher
Springer Science and Business Media LLC
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