TY - JOUR AU - Meeks III, William H. AU - Pérez Muñoz, Joaquín AU - Ros Mulero, Antonio PY - 2020 UR - http://hdl.handle.net/10481/66211 AB - We 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. LA - eng PB - SPRINGER TI - Constant mean curvature spheres in homogeneous three-manifolds DO - 10.1007/s00222-020-01008-y ER -